480686832 has 320 divisors, whose sum is σ = 1577577600. Its totient is φ = 139345920.

The previous prime is 480686777. The next prime is 480686851. The reversal of 480686832 is 238686084.

It is a happy number.

It is a super-3 number, since 3×480686832³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7880082 + ... + 7880142.

It is an arithmetic number, because the mean of its divisors is an integer number (4929930).

Almost surely, 2^480686832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480686832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788788800).

480686832 is an abundant number, since it is smaller than the sum of its proper divisors (1096890768).

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

480686832 is a wasteful number, since it uses less digits than its factorization.

480686832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 480686832 is about 21924.5714211247. The cubic root of 480686832 is about 783.3468025248.

The spelling of 480686832 in words is "four hundred eighty million, six hundred eighty-six thousand, eight hundred thirty-two".