57441200 has 60 divisors (see below), whose sum is σ = 139006728. Its totient is φ = 22809600.

The previous prime is 57441179. The next prime is 57441203. The reversal of 57441200 is 214475.

It is not an unprimeable number, because it can be changed into a prime (57441203) 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, 64760 + ... + 65640.

Almost surely, 2^57441200 is an apocalyptic number.

57441200 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 57441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69503364).

57441200 is an abundant number, since it is smaller than the sum of its proper divisors (81565528).

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

57441200 is a wasteful number, since it uses less digits than its factorization.

57441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 57441200 is about 7578.9972951572. The cubic root of 57441200 is about 385.8405204430.

Adding to 57441200 its reverse (214475), we get a palindrome (57655675).

The spelling of 57441200 in words is "fifty-seven million, four hundred forty-one thousand, two hundred".