56904480 has 144 divisors (see below), whose sum is σ = 198918720. Its totient is φ = 14805504.

The previous prime is 56904469. The next prime is 56904481. The reversal of 56904480 is 8440965.

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 not an unprimeable number, because it can be changed into a prime (56904481) 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, 61461 + ... + 62379.

It is an arithmetic number, because the mean of its divisors is an integer number (1381380).

Almost surely, 2^56904480 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 56904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99459360).

56904480 is an abundant number, since it is smaller than the sum of its proper divisors (142014240).

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

56904480 is a wasteful number, since it uses less digits than its factorization.

56904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56904480 is about 7543.5058162634. The cubic root of 56904480 is about 384.6350170081.

The spelling of 56904480 in words is "fifty-six million, nine hundred four thousand, four hundred eighty".