480617815 has 16 divisors (see below), whose sum is σ = 590089536. Its totient is φ = 375692800.

The previous prime is 480617801. The next prime is 480617849. The reversal of 480617815 is 518716084.

It is not a de Polignac number, because 480617815 - 2²¹ = 478520663 is a prime.

It is a super-3 number, since 3×480617815³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34125 + ... + 46105.

It is an arithmetic number, because the mean of its divisors is an integer number (36880596).

Almost surely, 2^480617815 is an apocalyptic number.

480617815 is a deficient number, since it is larger than the sum of its proper divisors (109471721).

480617815 is a wasteful number, since it uses less digits than its factorization.

480617815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170.

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 480617815 is about 21922.9973999907. The cubic root of 480617815 is about 783.3093097607.

The spelling of 480617815 in words is "four hundred eighty million, six hundred seventeen thousand, eight hundred fifteen".