460479264 has 144 divisors (see below), whose sum is σ = 1433412288. Its totient is φ = 129013248.

The previous prime is 460479263. The next prime is 460479293. The reversal of 460479264 is 462974064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (460479263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248389 + ... + 250235.

It is an arithmetic number, because the mean of its divisors is an integer number (9954252).

Almost surely, 2^460479264 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 460479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716706144).

460479264 is an abundant number, since it is smaller than the sum of its proper divisors (972933024).

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

460479264 is a wasteful number, since it uses less digits than its factorization.

460479264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 460479264 is about 21458.7805804524. The cubic root of 460479264 is about 772.2122605328.

The spelling of 460479264 in words is "four hundred sixty million, four hundred seventy-nine thousand, two hundred sixty-four".