480864613320 has 384 divisors, whose sum is σ = 1985509693440. Its totient is φ = 98184130560.

The previous prime is 480864613217. The next prime is 480864613373. The reversal of 480864613320 is 23316468084.

480864613320 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 6 + 4 + 613 + 3 + 20 = 666.

It is a super-3 number, since 3×480864613320³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778812 + ... + 1252308.

It is an arithmetic number, because the mean of its divisors is an integer number (5170598160).

Almost surely, 2^480864613320 is an apocalyptic number.

480864613320 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 480864613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992754846720).

480864613320 is an abundant number, since it is smaller than the sum of its proper divisors (1504645080120).

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

480864613320 is a wasteful number, since it uses less digits than its factorization.

480864613320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473565 (or 473558 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 480864613320 in words is "four hundred eighty billion, eight hundred sixty-four million, six hundred thirteen thousand, three hundred twenty".