56251440 has 120 divisors (see below), whose sum is σ = 215917728. Its totient is φ = 12856320.

The previous prime is 56251417. The next prime is 56251441. The reversal of 56251440 is 4415265.

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

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 not an unprimeable number, because it can be changed into a prime (56251441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541 + ... + 10620.

Almost surely, 2^56251440 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 56251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107958864).

56251440 is an abundant number, since it is smaller than the sum of its proper divisors (159666288).

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

56251440 is a wasteful number, since it uses less digits than its factorization.

56251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 56251440 is about 7500.0959993856. The cubic root of 56251440 is about 383.1579857558.

The spelling of 56251440 in words is "fifty-six million, two hundred fifty-one thousand, four hundred forty".