57330400 has 36 divisors (see below), whose sum is σ = 139959792. Its totient is φ = 22931840.

The previous prime is 57330397. The next prime is 57330407. The reversal of 57330400 is 403375.

57330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57330407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35032 + ... + 36631.

It is an arithmetic number, because the mean of its divisors is an integer number (3887772).

Almost surely, 2^57330400 is an apocalyptic number.

57330400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57330400 is an abundant number, since it is smaller than the sum of its proper divisors (82629392).

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

57330400 is a wasteful number, since it uses less digits than its factorization.

57330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71683 (or 71670 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 57330400 is about 7571.6840927234. The cubic root of 57330400 is about 385.5922744273.

Adding to 57330400 its reverse (403375), we get a palindrome (57733775).

Subtracting from 57330400 its reverse (403375), we obtain a square (56927025 = 7545²).

The spelling of 57330400 in words is "fifty-seven million, three hundred thirty thousand, four hundred".