480884320 has 48 divisors (see below), whose sum is σ = 1298390688. Its totient is φ = 164874240.

The previous prime is 480884311. The next prime is 480884333. The reversal of 480884320 is 23488084.

It is a super-3 number, since 3×480884320³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480884320.

It is a congruent number.

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, 213561 + ... + 215800.

It is an arithmetic number, because the mean of its divisors is an integer number (27049806).

Almost surely, 2^480884320 is an apocalyptic number.

480884320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480884320 is an abundant number, since it is smaller than the sum of its proper divisors (817506368).

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

480884320 is a wasteful number, since it uses less digits than its factorization.

480884320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429383 (or 429375 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 480884320 is about 21929.0747638837. The cubic root of 480884320 is about 783.4540659943.

The spelling of 480884320 in words is "four hundred eighty million, eight hundred eighty-four thousand, three hundred twenty".