480088320 has 288 divisors, whose sum is σ = 1640432640. Its totient is φ = 119439360.

The previous prime is 480088319. The next prime is 480088337. The reversal of 480088320 is 23880084.

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 31 ways as a sum of consecutive naturals, for example, 4404426 + ... + 4404534.

Almost surely, 2^480088320 is an apocalyptic number.

480088320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820216320).

480088320 is an abundant number, since it is smaller than the sum of its proper divisors (1160344320).

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

480088320 is a wasteful number, since it uses less digits than its factorization.

480088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 480088320 is about 21910.9178265083. The cubic root of 480088320 is about 783.0215476651.

The spelling of 480088320 in words is "four hundred eighty million, eighty-eight thousand, three hundred twenty".