57338496 has 128 divisors (see below), whose sum is σ = 173318400. Its totient is φ = 18653184.

The previous prime is 57338483. The next prime is 57338513. The reversal of 57338496 is 69483375.

57338496 is a `hidden beast` number, since 573 + 38 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (544320) is a multiple of the sum of its prime divisors (405).

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, 162256 + ... + 162608.

It is an arithmetic number, because the mean of its divisors is an integer number (1354050).

Almost surely, 2^57338496 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 57338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86659200).

57338496 is an abundant number, since it is smaller than the sum of its proper divisors (115979904).

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

57338496 is a wasteful number, since it uses less digits than its factorization.

57338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 57338496 is about 7572.2186973172. The cubic root of 57338496 is about 385.6104242403.

The spelling of 57338496 in words is "fifty-seven million, three hundred thirty-eight thousand, four hundred ninety-six".