57738400 has 36 divisors (see below), whose sum is σ = 140955822. Its totient is φ = 23095040.

The previous prime is 57738383. The next prime is 57738433. The reversal of 57738400 is 483775.

It can be written as a sum of positive squares in 3 ways, for example, as 29986576 + 27751824 = 5476^2 + 5268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35287 + ... + 36886.

Almost surely, 2^57738400 is an apocalyptic number.

57738400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57738400 is an abundant number, since it is smaller than the sum of its proper divisors (83217422).

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

57738400 is a wasteful number, since it uses less digits than its factorization.

57738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72193 (or 72180 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 57738400 is about 7598.5788144889. The cubic root of 57738400 is about 386.5048206264.

The spelling of 57738400 in words is "fifty-seven million, seven hundred thirty-eight thousand, four hundred".