480013320 has 64 divisors (see below), whose sum is σ = 1443536640. Its totient is φ = 127692800.

The previous prime is 480013297. The next prime is 480013333. The reversal of 480013320 is 23310084.

It is a happy number.

480013320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

480013320 is a modest number, since divided by 13320 gives 480 as remainder.

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, 47080 + ... + 56360.

It is an arithmetic number, because the mean of its divisors is an integer number (22555260).

Almost surely, 2^480013320 is an apocalyptic number.

480013320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480013320 is an abundant number, since it is smaller than the sum of its proper divisors (963523320).

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

480013320 is a wasteful number, since it uses less digits than its factorization.

480013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 480013320 is about 21909.2062841172. The cubic root of 480013320 is about 782.9807706719.

The spelling of 480013320 in words is "four hundred eighty million, thirteen thousand, three hundred twenty".