56480 has 24 divisors (see below), whose sum is σ = 133812. Its totient is φ = 22528.

The previous prime is 56479. The next prime is 56489. The reversal of 56480 is 8465.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 784 = 236^2 + 28^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 336.

2⁵⁶⁴⁸⁰ 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 56480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66906).

56480 is an abundant number, since it is smaller than the sum of its proper divisors (77332).

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

56480 is a wasteful number, since it uses less digits than its factorization.

56480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 56480 is about 237.6552124402. The cubic root of 56480 is about 38.3676231722.

It can be divided in two parts, 5 and 6480, that multiplied together give a square (32400 = 180²).

The spelling of 56480 in words is "fifty-six thousand, four hundred eighty".