480686360 has 128 divisors (see below), whose sum is σ = 1356134400. Its totient is φ = 148968960.

The previous prime is 480686359. The next prime is 480686389. The reversal of 480686360 is 63686084.

It is a super-3 number, since 3×480686360³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735794 + ... + 736446.

It is an arithmetic number, because the mean of its divisors is an integer number (10594800).

Almost surely, 2^480686360 is an apocalyptic number.

480686360 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 480686360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678067200).

480686360 is an abundant number, since it is smaller than the sum of its proper divisors (875448040).

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

480686360 is a wasteful number, since it uses less digits than its factorization.

480686360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 480686360 is about 21924.5606569436. The cubic root of 480686360 is about 783.3465461279.

The spelling of 480686360 in words is "four hundred eighty million, six hundred eighty-six thousand, three hundred sixty".