480675416 has 32 divisors (see below), whose sum is σ = 972170640. Its totient is φ = 221490048.

The previous prime is 480675401. The next prime is 480675443. The reversal of 480675416 is 614576084.

It is a super-3 number, since 3×480675416³ (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 7 ways as a sum of consecutive naturals, for example, 66995 + ... + 73821.

Almost surely, 2^480675416 is an apocalyptic number.

It is an amenable number.

480675416 is an abundant number, since it is smaller than the sum of its proper divisors (491495224).

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

480675416 is a wasteful number, since it uses less digits than its factorization.

480675416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 480675416 is about 21924.3110724146. The cubic root of 480675416 is about 783.3406011498.

The spelling of 480675416 in words is "four hundred eighty million, six hundred seventy-five thousand, four hundred sixteen".