57130400 has 36 divisors (see below), whose sum is σ = 139471542. Its totient is φ = 22851840.

The previous prime is 57130393. The next prime is 57130417. The reversal of 57130400 is 403175.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42354064 + 14776336 = 6508^2 + 3844^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 34907 + ... + 36506.

Almost surely, 2^57130400 is an apocalyptic number.

57130400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57130400 is an abundant number, since it is smaller than the sum of its proper divisors (82341142).

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

57130400 is a wasteful number, since it uses less digits than its factorization.

57130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71433 (or 71420 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 57130400 is about 7558.4654527225. The cubic root of 57130400 is about 385.1433659581.

Adding to 57130400 its reverse (403175), we get a palindrome (57533575).

The spelling of 57130400 in words is "fifty-seven million, one hundred thirty thousand, four hundred".