57190400 has 72 divisors (see below), whose sum is σ = 141924510. Its totient is φ = 22855680.

The previous prime is 57190373. The next prime is 57190417. The reversal of 57190400 is 409175.

It can be written as a sum of positive squares in 3 ways, for example, as 26543104 + 30647296 = 5152^2 + 5536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57190400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50642 + ... + 51758.

Almost surely, 2^57190400 is an apocalyptic number.

57190400 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 57190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70962255).

57190400 is an abundant number, since it is smaller than the sum of its proper divisors (84734110).

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

57190400 is a wasteful number, since it uses less digits than its factorization.

57190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 57190400 is about 7562.4334707817. The cubic root of 57190400 is about 385.2781483559.

Adding to 57190400 its reverse (409175), we get a palindrome (57599575).

The spelling of 57190400 in words is "fifty-seven million, one hundred ninety thousand, four hundred".