480801328 has 30 divisors (see below), whose sum is σ = 1083644556. Its totient is φ = 206057376.

The previous prime is 480801317. The next prime is 480801359. The reversal of 480801328 is 823108084.

It is a super-3 number, since 3×480801328³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 480801293 and 480801302.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305850 + ... + 307417.

Almost surely, 2^480801328 is an apocalyptic number.

It is an amenable number.

480801328 is an abundant number, since it is smaller than the sum of its proper divisors (602843228).

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

480801328 is a wasteful number, since it uses less digits than its factorization.

480801328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613289 (or 613276 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 480801328 is about 21927.1823999346. The cubic root of 480801328 is about 783.4089933660.

The spelling of 480801328 in words is "four hundred eighty million, eight hundred one thousand, three hundred twenty-eight".