57400 has 48 divisors (see below), whose sum is σ = 156240. Its totient is φ = 19200.

The previous prime is 57397. The next prime is 57413. The reversal of 57400 is 475.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1380 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁵⁷⁴⁰⁰ is an apocalyptic number.

57400 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 57400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

57400 is an abundant number, since it is smaller than the sum of its proper divisors (98840).

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

57400 is a wasteful number, since it uses less digits than its factorization.

57400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 57400 is about 239.5829710142. The cubic root of 57400 is about 38.5748249671.

Adding to 57400 its reverse (475), we get a palindrome (57875).

The spelling of 57400 in words is "fifty-seven thousand, four hundred".