56976480 has 288 divisors, whose sum is σ = 221205600. Its totient is φ = 13685760.

The previous prime is 56976473. The next prime is 56976523. The reversal of 56976480 is 8467965.

56976480 is a `hidden beast` number, since 569 + 7 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 522666 + ... + 522774.

It is an arithmetic number, because the mean of its divisors is an integer number (768075).

Almost surely, 2^56976480 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 56976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110602800).

56976480 is an abundant number, since it is smaller than the sum of its proper divisors (164229120).

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

56976480 is a wasteful number, since it uses less digits than its factorization.

56976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56976480 is about 7548.2766245018. The cubic root of 56976480 is about 384.7971720754.

The spelling of 56976480 in words is "fifty-six million, nine hundred seventy-six thousand, four hundred eighty".