57241800 has 432 divisors, whose sum is σ = 248086800. Its totient is φ = 11692800.

The previous prime is 57241783. The next prime is 57241819. The reversal of 57241800 is 814275.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 970171 + ... + 970229.

It is an arithmetic number, because the mean of its divisors is an integer number (574275).

Almost surely, 2^57241800 is an apocalyptic number.

57241800 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 57241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

57241800 is an abundant number, since it is smaller than the sum of its proper divisors (190845000).

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

57241800 is a wasteful number, since it uses less digits than its factorization.

57241800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57241800 is about 7565.8310845538. The cubic root of 57241800 is about 385.3935369936.

The spelling of 57241800 in words is "fifty-seven million, two hundred forty-one thousand, eight hundred".