57052464 has 120 divisors (see below), whose sum is σ = 173703168. Its totient is φ = 16087680.

The previous prime is 57052451. The next prime is 57052477. The reversal of 57052464 is 46425075.

It is an interprime number because it is at equal distance from previous prime (57052451) and next prime (57052477).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 298609 + ... + 298799.

Almost surely, 2^57052464 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 57052464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86851584).

57052464 is an abundant number, since it is smaller than the sum of its proper divisors (116650704).

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

57052464 is a wasteful number, since it uses less digits than its factorization.

57052464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 57052464 is about 7553.3081494137. The cubic root of 57052464 is about 384.9681516355.

The spelling of 57052464 in words is "fifty-seven million, fifty-two thousand, four hundred sixty-four".