480008880 has 120 divisors (see below), whose sum is σ = 1736065968. Its totient is φ = 118153728.

The previous prime is 480008861. The next prime is 480008891. The reversal of 480008880 is 88800084.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

480008880 is a modest number, since divided by 8880 gives 480 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16282 + ... + 35001.

Almost surely, 2^480008880 is an apocalyptic number.

480008880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480008880 is an abundant number, since it is smaller than the sum of its proper divisors (1256057088).

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

480008880 is a wasteful number, since it uses less digits than its factorization.

480008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51315 (or 51306 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 480008880 is about 21909.1049566156. The cubic root of 480008880 is about 782.9783565408.

The spelling of 480008880 in words is "four hundred eighty million, eight thousand, eight hundred eighty".