457590872672 has 96 divisors (see below), whose sum is σ = 927332146944. Its totient is φ = 222135091200.

The previous prime is 457590872663. The next prime is 457590872701. The reversal of 457590872672 is 276278095754.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 458967278 + ... + 458968274.

It is an arithmetic number, because the mean of its divisors is an integer number (9659709864).

Almost surely, 2^457590872672 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 457590872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463666073472).

457590872672 is an abundant number, since it is smaller than the sum of its proper divisors (469741274272).

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

457590872672 is a wasteful number, since it uses less digits than its factorization.

457590872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 62.

The spelling of 457590872672 in words is "four hundred fifty-seven billion, five hundred ninety million, eight hundred seventy-two thousand, six hundred seventy-two".