56256480 has 144 divisors (see below), whose sum is σ = 219439584. Its totient is φ = 12856320.

The previous prime is 56256467. The next prime is 56256493. The reversal of 56256480 is 8465265.

56256480 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56256467) and next prime (56256493).

It is a tau number, because it is divible by the number of its divisors (144).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7290 + ... + 12870.

It is an arithmetic number, because the mean of its divisors is an integer number (1523886).

Almost surely, 2^56256480 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 56256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109719792).

56256480 is an abundant number, since it is smaller than the sum of its proper divisors (163183104).

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

56256480 is a wasteful number, since it uses less digits than its factorization.

56256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56256480 is about 7500.4319875591. The cubic root of 56256480 is about 383.1694287729.

The spelling of 56256480 in words is "fifty-six million, two hundred fifty-six thousand, four hundred eighty".