56508480 has 168 divisors, whose sum is σ = 222211392. Its totient is φ = 12911616.

The previous prime is 56508479. The next prime is 56508481. The reversal of 56508480 is 8480565.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56508479) and next prime (56508481).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56508481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18759 + ... + 21561.

Almost surely, 2^56508480 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 56508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111105696).

56508480 is an abundant number, since it is smaller than the sum of its proper divisors (165702912).

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

56508480 is a wasteful number, since it uses less digits than its factorization.

56508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56508480 is about 7517.2122492318. The cubic root of 56508480 is about 383.7407103751.

It can be divided in two parts, 56 and 508480, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 56508480 in words is "fifty-six million, five hundred eight thousand, four hundred eighty".