480828480 has 112 divisors (see below), whose sum is σ = 1665451584. Its totient is φ = 116561920.

The previous prime is 480828473. The next prime is 480828503. The reversal of 480828480 is 84828084.

It is a super-3 number, since 3×480828480³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 12207 + ... + 33326.

Almost surely, 2^480828480 is an apocalyptic number.

480828480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480828480 is an abundant number, since it is smaller than the sum of its proper divisors (1184623104).

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

480828480 is a wasteful number, since it uses less digits than its factorization.

480828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45564 (or 45554 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 480828480 is about 21927.8015313893. The cubic root of 480828480 is about 783.4237400811.

The spelling of 480828480 in words is "four hundred eighty million, eight hundred twenty-eight thousand, four hundred eighty".