480484402680 has 128 divisors (see below), whose sum is σ = 1456223469120. Its totient is φ = 126819409920.

The previous prime is 480484402667. The next prime is 480484402703. The reversal of 480484402680 is 86204484084.

It is a super-2 number, since 2×480484402680² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9915310 + ... + 9963650.

Almost surely, 2^480484402680 is an apocalyptic number.

480484402680 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 480484402680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728111734560).

480484402680 is an abundant number, since it is smaller than the sum of its proper divisors (975739066440).

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

480484402680 is a wasteful number, since it uses less digits than its factorization.

480484402680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49201 (or 49197 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 480484402680 in words is "four hundred eighty billion, four hundred eighty-four million, four hundred two thousand, six hundred eighty".