56509440 has 176 divisors, whose sum is σ = 195332928. Its totient is φ = 13860864.

The previous prime is 56509423. The next prime is 56509447. The reversal of 56509440 is 4490565.

It is a super-2 number, since 2×56509440² = 6386633618227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56509447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199539 + ... + 199821.

Almost surely, 2^56509440 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 56509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97666464).

56509440 is an abundant number, since it is smaller than the sum of its proper divisors (138823488).

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

56509440 is a wasteful number, since it uses less digits than its factorization.

56509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56509440 is about 7517.2761024190. The cubic root of 56509440 is about 383.7428834353.

The spelling of 56509440 in words is "fifty-six million, five hundred nine thousand, four hundred forty".