56532480 has 160 divisors (see below), whose sum is σ = 191800224. Its totient is φ = 14155776.

The previous prime is 56532461. The next prime is 56532521. The reversal of 56532480 is 8423565.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130344 + ... + 130776.

Almost surely, 2^56532480 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 56532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95900112).

56532480 is an abundant number, since it is smaller than the sum of its proper divisors (135267744).

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

56532480 is a wasteful number, since it uses less digits than its factorization.

56532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 56532480 is about 7518.8084162319. The cubic root of 56532480 is about 383.7950294997.

The spelling of 56532480 in words is "fifty-six million, five hundred thirty-two thousand, four hundred eighty".