460856330496 has 81 divisors (see below), whose sum is σ = 1328856373299. Its totient is φ = 153607915008.

The previous prime is 460856330489. The next prime is 460856330509. The reversal of 460856330496 is 694033658064.

The square root of 460856330496 is 678864.

It is a perfect power (a square), and thus also a powerful number.

460856330496 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 563 + 30 + 49 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32578401 + ... + 32592543.

Almost surely, 2^460856330496 is an apocalyptic number.

460856330496 is the 678864-th square number.

It is an amenable number.

460856330496 is an abundant number, since it is smaller than the sum of its proper divisors (868000042803).

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

460856330496 is an frugal number, since it uses more digits than its factorization.

460856330496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28308 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 460856330496 in words is "four hundred sixty billion, eight hundred fifty-six million, three hundred thirty thousand, four hundred ninety-six".