56356480 has 64 divisors (see below), whose sum is σ = 135772200. Its totient is φ = 22368256.

The previous prime is 56356471. The next prime is 56356501. The reversal of 56356480 is 8465365.

It can be written as a sum of positive squares in 4 ways, for example, as 56190016 + 166464 = 7496^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110466 + ... + 110974.

Almost surely, 2^56356480 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 56356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886100).

56356480 is an abundant number, since it is smaller than the sum of its proper divisors (79415720).

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

56356480 is a wasteful number, since it uses less digits than its factorization.

56356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 56356480 is about 7507.0953104380. The cubic root of 56356480 is about 383.3963315911.

The spelling of 56356480 in words is "fifty-six million, three hundred fifty-six thousand, four hundred eighty".