57452400 has 90 divisors (see below), whose sum is σ = 199388280. Its totient is φ = 15319680.

The previous prime is 57452399. The next prime is 57452411. The reversal of 57452400 is 425475.

57452400 is a `hidden beast` number, since 574 + 52 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4380 + ... + 11579.

Almost surely, 2^57452400 is an apocalyptic number.

57452400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57452400 is an abundant number, since it is smaller than the sum of its proper divisors (141935880).

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

57452400 is a wasteful number, since it uses less digits than its factorization.

57452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15983 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 57452400 is about 7579.7361431649. The cubic root of 57452400 is about 385.8655961320.

Adding to 57452400 its reverse (425475), we get a palindrome (57877875).

The spelling of 57452400 in words is "fifty-seven million, four hundred fifty-two thousand, four hundred".