56460480 has 112 divisors (see below), whose sum is σ = 181319424. Its totient is φ = 14883840.

The previous prime is 56460473. The next prime is 56460491. The reversal of 56460480 is 8406465.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 98595 + ... + 99165.

Almost surely, 2^56460480 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 56460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90659712).

56460480 is an abundant number, since it is smaller than the sum of its proper divisors (124858944).

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

56460480 is a wasteful number, since it uses less digits than its factorization.

56460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 56460480 is about 7514.0188980332. The cubic root of 56460480 is about 383.6320259680.

The spelling of 56460480 in words is "fifty-six million, four hundred sixty thousand, four hundred eighty".