461423664 has 120 divisors (see below), whose sum is σ = 1463986160. Its totient is φ = 134493696.

The previous prime is 461423653. The next prime is 461423689. The reversal of 461423664 is 466324164.

461423664 is a `hidden beast` number, since 4 + 614 + 2 + 36 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29082 + ... + 42054.

Almost surely, 2^461423664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461423664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731993080).

461423664 is an abundant number, since it is smaller than the sum of its proper divisors (1002562496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461423664 is a wasteful number, since it uses less digits than its factorization.

461423664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13019 (or 13010 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 461423664 is about 21480.7742877206. The cubic root of 461423664 is about 772.7398118062.

The spelling of 461423664 in words is "four hundred sixty-one million, four hundred twenty-three thousand, six hundred sixty-four".