56460800 has 120 divisors (see below), whose sum is σ = 152983512. Its totient is φ = 20480000.

The previous prime is 56460787. The next prime is 56460821. The reversal of 56460800 is 806465.

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, 140600 + ... + 141000.

Almost surely, 2^56460800 is an apocalyptic number.

56460800 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 56460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76491756).

56460800 is an abundant number, since it is smaller than the sum of its proper divisors (96522712).

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

56460800 is a wasteful number, since it uses less digits than its factorization.

56460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56460800 is about 7514.0401915348. The cubic root of 56460800 is about 383.6327507346.

The spelling of 56460800 in words is "fifty-six million, four hundred sixty thousand, eight hundred".