57438720 has 200 divisors, whose sum is σ = 206470044. Its totient is φ = 15261696.

The previous prime is 57438707. The next prime is 57438737. The reversal of 57438720 is 2783475.

57438720 is a `hidden beast` number, since 574 + 3 + 87 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 3504384 = 7344^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207222 + ... + 207498.

Almost surely, 2^57438720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103235022).

57438720 is an abundant number, since it is smaller than the sum of its proper divisors (149031324).

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

57438720 is an equidigital number, since it uses as much as digits as its factorization.

57438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57438720 is about 7578.8336833579. The cubic root of 57438720 is about 385.8349675283.

The spelling of 57438720 in words is "fifty-seven million, four hundred thirty-eight thousand, seven hundred twenty".