57224800 has 72 divisors (see below), whose sum is σ = 140756616. Its totient is φ = 22717440.

The previous prime is 57224747. The next prime is 57224813. The reversal of 57224800 is 842275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186247 + ... + 186553.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953).

Almost surely, 2^57224800 is an apocalyptic number.

57224800 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 57224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70378308).

57224800 is an abundant number, since it is smaller than the sum of its proper divisors (83531816).

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

57224800 is a wasteful number, since it uses less digits than its factorization.

57224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 57224800 is about 7564.7075290457. The cubic root of 57224800 is about 385.3553810841.

The spelling of 57224800 in words is "fifty-seven million, two hundred twenty-four thousand, eight hundred".