480817312 has 24 divisors (see below), whose sum is σ = 955300500. Its totient is φ = 238201344.

The previous prime is 480817297. The next prime is 480817313. The reversal of 480817312 is 213718084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 436141456 + 44675856 = 20884^2 + 6684^2 .

It is a super-3 number, since 3×480817312³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480817313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65437 + ... + 72412.

Almost surely, 2^480817312 is an apocalyptic number.

It is an amenable number.

480817312 is a deficient number, since it is larger than the sum of its proper divisors (474483188).

480817312 is a wasteful number, since it uses less digits than its factorization.

480817312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137968 (or 137960 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 480817312 is about 21927.5468760188. The cubic root of 480817312 is about 783.4176746167.

The spelling of 480817312 in words is "four hundred eighty million, eight hundred seventeen thousand, three hundred twelve".