480902416 has 40 divisors (see below), whose sum is σ = 950117760. Its totient is φ = 235745664.

The previous prime is 480902393. The next prime is 480902419. The reversal of 480902416 is 614209084.

It is a super-3 number, since 3×480902416³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480902419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255270 + ... + 257146.

It is an arithmetic number, because the mean of its divisors is an integer number (23752944).

Almost surely, 2^480902416 is an apocalyptic number.

It is an amenable number.

480902416 is a deficient number, since it is larger than the sum of its proper divisors (469215344).

480902416 is a wasteful number, since it uses less digits than its factorization.

480902416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 480902416 is about 21929.4873629093. The cubic root of 480902416 is about 783.4638931720.

The spelling of 480902416 in words is "four hundred eighty million, nine hundred two thousand, four hundred sixteen".