57312400 has 30 divisors (see below), whose sum is σ = 137694002. Its totient is φ = 22924800.

The previous prime is 57312391. The next prime is 57312401. The reversal of 57312400 is 421375.

It can be written as a sum of positive squares in 3 ways, for example, as 5702544 + 51609856 = 2388^2 + 7184^2 .

It is a super-2 number, since 2×57312400² = 6569422387520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57312401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71241 + ... + 72040.

Almost surely, 2^57312400 is an apocalyptic number.

57312400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57312400 is an abundant number, since it is smaller than the sum of its proper divisors (80381602).

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

57312400 is a wasteful number, since it uses less digits than its factorization.

57312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143299 (or 143288 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 57312400 is about 7570.4953602786. The cubic root of 57312400 is about 385.5519154586.

Adding to 57312400 its reverse (421375), we get a palindrome (57733775).

The spelling of 57312400 in words is "fifty-seven million, three hundred twelve thousand, four hundred".