57442800 has 60 divisors (see below), whose sum is σ = 184012280. Its totient is φ = 15317760.

The previous prime is 57442787. The next prime is 57442807. The reversal of 57442800 is 824475.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57442807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22735 + ... + 25134.

Almost surely, 2^57442800 is an apocalyptic number.

57442800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57442800 is an abundant number, since it is smaller than the sum of its proper divisors (126569480).

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

57442800 is a wasteful number, since it uses less digits than its factorization.

57442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47890 (or 47879 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 57442800 is about 7579.1028492824. The cubic root of 57442800 is about 385.8441028839.

The spelling of 57442800 in words is "fifty-seven million, four hundred forty-two thousand, eight hundred".