diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml
index 37de97cd05..3605c90840 100644
--- a/.github/workflows/ci.yaml
+++ b/.github/workflows/ci.yaml
@@ -14,8 +14,7 @@ jobs:
       matrix:
         rust: [
           1.31.0, # 2018!
-          1.32.0, # rand
-          1.36.0, # alloc
+          1.36.0, # alloc, rand
           stable,
           beta,
           nightly
diff --git a/Cargo.toml b/Cargo.toml
index c0105c704a..9eb3218e95 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -8,7 +8,7 @@ categories = [ "algorithms", "data-structures", "science", "no-std" ]
 license = "MIT OR Apache-2.0"
 repository = "https://github.com/rust-num/num"
 name = "num"
-version = "0.3.1"
+version = "0.4.0"
 readme = "README.md"
 exclude = ["/bors.toml", "/ci/*", "/.github/*"]
 edition = "2018"
@@ -23,11 +23,11 @@ travis-ci = { repository = "rust-num/num" }
 
 [dependencies.num-bigint]
 optional = true # needs std until Rust 1.36
-version = "0.3.1"
+version = "0.4.0"
 default-features = false
 
 [dependencies.num-complex]
-version = "0.3.1"
+version = "0.4.0"
 default-features = false
 
 [dependencies.num-integer]
@@ -41,7 +41,7 @@ default-features = false
 features = ["i128"]
 
 [dependencies.num-rational]
-version = "0.3.1"
+version = "0.4.0"
 default-features = false
 
 [dependencies.num-traits]
diff --git a/README.md b/README.md
index 0ba79e01ab..0753d24f7f 100644
--- a/README.md
+++ b/README.md
@@ -32,7 +32,7 @@ Add this to your `Cargo.toml`:
 
 ```toml
 [dependencies]
-num = "0.3"
+num = "0.4"
 ```
 
 ## Features
@@ -42,7 +42,7 @@ the default `std` feature. Use this in `Cargo.toml`:
 
 ```toml
 [dependencies.num]
-version = "0.3"
+version = "0.4"
 default-features = false
 ```
 
diff --git a/RELEASES.md b/RELEASES.md
index 96dec1bee5..d7f953cb0b 100644
--- a/RELEASES.md
+++ b/RELEASES.md
@@ -1,3 +1,11 @@
+# Release 0.4.0 (2021-03-05)
+
+- Updated `num-bigint`, `num-complex`, and `num-rational` to 0.4.0.
+  - Updated to `rand` 0.8 in `num-bigint` and `num-complex`.
+- As with prior release bumps, all items exported from `num-integer`,
+  `num-iter`, and `num-traits` are still semver-compatible with those exported
+  by earlier version of `num`.
+
 # Release 0.3.1 (2020-11-03)
 
 - Updated all sub-crates to their latest versions.
diff --git a/bors.toml b/bors.toml
index 9675ca950c..82e9ad2cea 100644
--- a/bors.toml
+++ b/bors.toml
@@ -1,6 +1,5 @@
 status = [
   "Test (1.31.0)",
-  "Test (1.32.0)",
   "Test (1.36.0)",
   "Test (stable)",
   "Test (beta)",
diff --git a/ci/rustup.sh b/ci/rustup.sh
index 5884579dac..e59257bceb 100755
--- a/ci/rustup.sh
+++ b/ci/rustup.sh
@@ -5,6 +5,6 @@
 set -ex
 
 ci=$(dirname $0)
-for version in 1.31.0 1.32.0 1.36.0 stable beta nightly; do
+for version in 1.31.0 1.36.0 stable beta nightly; do
     rustup run "$version" "$ci/test_full.sh"
 done
diff --git a/ci/test_full.sh b/ci/test_full.sh
index d6ba0f9428..5b5bef3f11 100755
--- a/ci/test_full.sh
+++ b/ci/test_full.sh
@@ -29,7 +29,7 @@ fi
 
 STD_FEATURES=(libm serde)
 NO_STD_FEATURES=(libm)
-check_version 1.32 && STD_FEATURES+=(rand)
+check_version 1.36 && STD_FEATURES+=(rand)
 check_version 1.36 && ALLOC_FEATURES=(libm serde rand)
 echo "Testing supported features: ${STD_FEATURES[*]}"
 echo " no_std supported features: ${NO_STD_FEATURES[*]}"
diff --git a/src/lib.rs b/src/lib.rs
index 27dd1968c4..f5c6535dea 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -56,7 +56,7 @@
 //!
 //! The `num` crate is tested for rustc 1.31 and greater.
 
-#![doc(html_root_url = "https://docs.rs/num/0.3")]
+#![doc(html_root_url = "https://docs.rs/num/0.4")]
 #![no_std]
 
 #[cfg(any(feature = "alloc", feature = "std"))]
@@ -66,7 +66,9 @@ pub use num_complex::Complex;
 
 #[cfg(any(feature = "alloc", feature = "std"))]
 pub use num_rational::BigRational;
+#[allow(deprecated)]
 pub use num_rational::Rational;
+pub use num_rational::{Rational32, Rational64};
 
 pub use num_integer::Integer;