480597117 has 48 divisors (see below), whose sum is σ = 866947200. Its totient is φ = 230440320.

The previous prime is 480597113. The next prime is 480597119. The reversal of 480597117 is 711795084.

It is not a de Polignac number, because 480597117 - 2² = 480597113 is a prime.

It is a super-3 number, since 3×480597117³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480597113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25759 + ... + 40307.

It is an arithmetic number, because the mean of its divisors is an integer number (18061400).

Almost surely, 2^480597117 is an apocalyptic number.

It is an amenable number.

480597117 is a deficient number, since it is larger than the sum of its proper divisors (386350083).

480597117 is a wasteful number, since it uses less digits than its factorization.

480597117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14583 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 480597117 is about 21922.5253335468. The cubic root of 480597117 is about 783.2980650889.

The spelling of 480597117 in words is "four hundred eighty million, five hundred ninety-seven thousand, one hundred seventeen".