57370400 has 36 divisors (see below), whose sum is σ = 140057442. Its totient is φ = 22947840.

The previous prime is 57370399. The next prime is 57370403. The reversal of 57370400 is 407375.

57370400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 35952016 + 21418384 = 5996^2 + 4628^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57370400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57370403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35057 + ... + 36656.

Almost surely, 2^57370400 is an apocalyptic number.

57370400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57370400 is an abundant number, since it is smaller than the sum of its proper divisors (82687042).

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

57370400 is a wasteful number, since it uses less digits than its factorization.

57370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71733 (or 71720 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 57370400 is about 7574.3250524387. The cubic root of 57370400 is about 385.6819307892.

Adding to 57370400 its reverse (407375), we get a palindrome (57777775).

The spelling of 57370400 in words is "fifty-seven million, three hundred seventy thousand, four hundred".