57978400 has 108 divisors (see below), whose sum is σ = 149041242. Its totient is φ = 22021120.

The previous prime is 57978353. The next prime is 57978409. The reversal of 57978400 is 487975.

It can be written as a sum of positive squares in 3 ways, for example, as 45104656 + 12873744 = 6716^2 + 3588^2 .

It is a super-2 number, since 2×57978400² = 6722989733120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (57978409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423132 + ... + 423268.

Almost surely, 2^57978400 is an apocalyptic number.

57978400 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 57978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74520621).

57978400 is an abundant number, since it is smaller than the sum of its proper divisors (91062842).

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

57978400 is a wasteful number, since it uses less digits than its factorization.

57978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 57978400 is about 7614.3548643336. The cubic root of 57978400 is about 387.0396058347.

The spelling of 57978400 in words is "fifty-seven million, nine hundred seventy-eight thousand, four hundred".