57972456 has 64 divisors (see below), whose sum is σ = 163800000. Its totient is φ = 18992448.

The previous prime is 57972437. The next prime is 57972457. The reversal of 57972456 is 65427975.

57972456 is a `hidden beast` number, since 579 + 7 + 24 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (57972457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10470 + ... + 15018.

It is an arithmetic number, because the mean of its divisors is an integer number (2559375).

Almost surely, 2^57972456 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 57972456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900000).

57972456 is an abundant number, since it is smaller than the sum of its proper divisors (105827544).

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

57972456 is a wasteful number, since it uses less digits than its factorization.

57972456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4613 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 57972456 is about 7613.9645389245. The cubic root of 57972456 is about 387.0263788281.

The spelling of 57972456 in words is "fifty-seven million, nine hundred seventy-two thousand, four hundred fifty-six".