56377440 has 432 divisors, whose sum is σ = 242004672. Its totient is φ = 11870208.

The previous prime is 56377411. The next prime is 56377463. The reversal of 56377440 is 4477365.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 56377395 and 56377404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199497 + ... + 1199543.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^56377440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336).

56377440 is an abundant number, since it is smaller than the sum of its proper divisors (185627232).

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

56377440 is a wasteful number, since it uses less digits than its factorization.

56377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 56377440 is about 7508.4911933091. The cubic root of 56377440 is about 383.4438563896.

The spelling of 56377440 in words is "fifty-six million, three hundred seventy-seven thousand, four hundred forty".