57630456 has 96 divisors (see below), whose sum is σ = 175462560. Its totient is φ = 16955136.

The previous prime is 57630409. The next prime is 57630467. The reversal of 57630456 is 65403675.

57630456 is a `hidden beast` number, since 576 + 30 + 4 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57630456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20190 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (1827735).

Almost surely, 2^57630456 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 57630456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87731280).

57630456 is an abundant number, since it is smaller than the sum of its proper divisors (117832104).

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

57630456 is a wasteful number, since it uses less digits than its factorization.

57630456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57630456 is about 7591.4725844200. The cubic root of 57630456 is about 386.2638088506.

The spelling of 57630456 in words is "fifty-seven million, six hundred thirty thousand, four hundred fifty-six".