57478800 has 120 divisors (see below), whose sum is σ = 193891360. Its totient is φ = 14515200.

The previous prime is 57478793. The next prime is 57478847. The reversal of 57478800 is 887475.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21540 + ... + 24060.

Almost surely, 2^57478800 is an apocalyptic number.

57478800 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 57478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96945680).

57478800 is an abundant number, since it is smaller than the sum of its proper divisors (136412560).

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

57478800 is a wasteful number, since it uses less digits than its factorization.

57478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 57478800 is about 7581.4774285755. The cubic root of 57478800 is about 385.9246902216.

The spelling of 57478800 in words is "fifty-seven million, four hundred seventy-eight thousand, eight hundred".