480040656 has 80 divisors (see below), whose sum is σ = 1274204160. Its totient is φ = 155675520.

The previous prime is 480040637. The next prime is 480040699. The reversal of 480040656 is 656040084.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268341 + ... + 270123.

It is an arithmetic number, because the mean of its divisors is an integer number (15927552).

Almost surely, 2^480040656 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 480040656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637102080).

480040656 is an abundant number, since it is smaller than the sum of its proper divisors (794163504).

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

480040656 is a wasteful number, since it uses less digits than its factorization.

480040656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1938 counting only the distinct ones).

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

The square root of 480040656 is about 21909.8301225728. The cubic root of 480040656 is about 782.9956335623.

The spelling of 480040656 in words is "four hundred eighty million, forty thousand, six hundred fifty-six".