57456400 has 45 divisors (see below), whose sum is σ = 138404181. Its totient is φ = 22921920.

The previous prime is 57456397. The next prime is 57456431. The reversal of 57456400 is 465475.

It is a happy number.

The square root of 57456400 is 7580.

It is a perfect power (a square), and thus also a powerful number.

57456400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20684304 + 36772096 = 4548^2 + 6064^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 151411 + ... + 151789.

Almost surely, 2^57456400 is an apocalyptic number.

57456400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57456400 is the 7580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57456400

57456400 is an abundant number, since it is smaller than the sum of its proper divisors (80947781).

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

57456400 is an equidigital number, since it uses as much as digits as its factorization.

57456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The cubic root of 57456400 is about 385.8745509454.

The spelling of 57456400 in words is "fifty-seven million, four hundred fifty-six thousand, four hundred".