57402400 has 108 divisors (see below), whose sum is σ = 154290906. Its totient is φ = 20838400.

The previous prime is 57402391. The next prime is 57402437. The reversal of 57402400 is 420475.

It can be written as a sum of positive squares in 3 ways, for example, as 45319824 + 12082576 = 6732^2 + 3476^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 96504 + ... + 97096.

Almost surely, 2^57402400 is an apocalyptic number.

57402400 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 57402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77145453).

57402400 is an abundant number, since it is smaller than the sum of its proper divisors (96888506).

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

57402400 is a wasteful number, since it uses less digits than its factorization.

57402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 57402400 is about 7576.4371573979. The cubic root of 57402400 is about 385.7536258784.

Adding to 57402400 its reverse (420475), we get a palindrome (57822875).

The spelling of 57402400 in words is "fifty-seven million, four hundred two thousand, four hundred".