56544480 has 120 divisors (see below), whose sum is σ = 199600632. Its totient is φ = 15075072.

The previous prime is 56544463. The next prime is 56544491. The reversal of 56544480 is 8444565.

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

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 19 ways as a sum of consecutive naturals, for example, 10779 + ... + 15141.

Almost surely, 2^56544480 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 56544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99800316).

56544480 is an abundant number, since it is smaller than the sum of its proper divisors (143056152).

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

56544480 is a wasteful number, since it uses less digits than its factorization.

56544480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 56544480 is about 7519.6063726767. The cubic root of 56544480 is about 383.8221832971.

The spelling of 56544480 in words is "fifty-six million, five hundred forty-four thousand, four hundred eighty".