57382400 has 60 divisors (see below), whose sum is σ = 142201092. Its totient is φ = 22947840.

The previous prime is 57382393. The next prime is 57382421. The reversal of 57382400 is 428375.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10559 + ... + 15041.

Almost surely, 2^57382400 is an apocalyptic number.

57382400 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 57382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71100546).

57382400 is an abundant number, since it is smaller than the sum of its proper divisors (84818692).

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

57382400 is an equidigital number, since it uses as much as digits as its factorization.

57382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 57382400 is about 7575.1171608101. The cubic root of 57382400 is about 385.7088195711.

The spelling of 57382400 in words is "fifty-seven million, three hundred eighty-two thousand, four hundred".