56440800 has 360 divisors, whose sum is σ = 224969976. Its totient is φ = 13685760.

The previous prime is 56440793. The next prime is 56440819. The reversal of 56440800 is 804465.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 842367 + ... + 842433.

Almost surely, 2^56440800 is an apocalyptic number.

56440800 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 56440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112484988).

56440800 is an abundant number, since it is smaller than the sum of its proper divisors (168529176).

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

56440800 is a wasteful number, since it uses less digits than its factorization.

56440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56440800 is about 7512.7092316953. The cubic root of 56440800 is about 383.5874475558.

The spelling of 56440800 in words is "fifty-six million, four hundred forty thousand, eight hundred".