460680044432 has 80 divisors (see below), whose sum is σ = 949808851200. Its totient is φ = 215839370880.

The previous prime is 460680044399. The next prime is 460680044467. The reversal of 460680044432 is 234440086064.

It is a super-2 number, since 2×460680044432² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 460680044432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21425207 + ... + 21446697.

It is an arithmetic number, because the mean of its divisors is an integer number (11872610640).

Almost surely, 2^460680044432 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 460680044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474904425600).

460680044432 is an abundant number, since it is smaller than the sum of its proper divisors (489128806768).

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

460680044432 is a wasteful number, since it uses less digits than its factorization.

460680044432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22284 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 460680044432 in words is "four hundred sixty billion, six hundred eighty million, forty-four thousand, four hundred thirty-two".