460757064 has 32 divisors (see below), whose sum is σ = 1156288320. Its totient is φ = 152999616.

The previous prime is 460757047. The next prime is 460757117.

460757064 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30187 + ... + 42810.

It is an arithmetic number, because the mean of its divisors is an integer number (36134010).

Almost surely, 2^460757064 is an apocalyptic number.

It is an amenable number.

460757064 is an abundant number, since it is smaller than the sum of its proper divisors (695531256).

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

460757064 is a wasteful number, since it uses less digits than its factorization.

460757064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73269 (or 73265 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 460757064 is about 21465.2524792978. The cubic root of 460757064 is about 772.3675172101.

The spelling of 460757064 in words is "four hundred sixty million, seven hundred fifty-seven thousand, sixty-four".