57132400 has 60 divisors (see below), whose sum is σ = 147832552. Its totient is φ = 21093120.

The previous prime is 57132379. The next prime is 57132409. The reversal of 57132400 is 423175.

It is a super-2 number, since 2×57132400² = 6528222259520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57132409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294 + ... + 10693.

Almost surely, 2^57132400 is an apocalyptic number.

57132400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73916276).

57132400 is an abundant number, since it is smaller than the sum of its proper divisors (90700152).

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

57132400 is a wasteful number, since it uses less digits than its factorization.

57132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11018 (or 11007 counting only the distinct ones).

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

The square root of 57132400 is about 7558.5977535519. The cubic root of 57132400 is about 385.1478602247.

Adding to 57132400 its reverse (423175), we get a palindrome (57555575).

The spelling of 57132400 in words is "fifty-seven million, one hundred thirty-two thousand, four hundred".