57456576 has 84 divisors (see below), whose sum is σ = 171888912. Its totient is φ = 18315264.

The previous prime is 57456563. The next prime is 57456601. The reversal of 57456576 is 67565475.

57456576 is a `hidden beast` number, since 5 + 74 + 5 + 6 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11080 + ... + 15416.

Almost surely, 2^57456576 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 57456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85944456).

57456576 is an abundant number, since it is smaller than the sum of its proper divisors (114432336).

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

57456576 is a wasteful number, since it uses less digits than its factorization.

57456576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4365 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 57456576 is about 7580.0116094898. The cubic root of 57456576 is about 385.8749449477.

It can be divided in two parts, 5745 and 6576, that added together give a palindrome (12321).

The spelling of 57456576 in words is "fifty-seven million, four hundred fifty-six thousand, five hundred seventy-six".