57980400 has 120 divisors (see below), whose sum is σ = 195582720. Its totient is φ = 14641920.

The previous prime is 57980389. The next prime is 57980407. The reversal of 57980400 is 408975.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57980407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21529 + ... + 24071.

It is an arithmetic number, because the mean of its divisors is an integer number (1629856).

Almost surely, 2^57980400 is an apocalyptic number.

57980400 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 57980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97791360).

57980400 is an abundant number, since it is smaller than the sum of its proper divisors (137602320).

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

57980400 is a wasteful number, since it uses less digits than its factorization.

57980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 57980400 is about 7614.4861940908. The cubic root of 57980400 is about 387.0440561720.

The spelling of 57980400 in words is "fifty-seven million, nine hundred eighty thousand, four hundred".