480917117 has 8 divisors (see below), whose sum is σ = 494317824. Its totient is φ = 467617248.

The previous prime is 480917111. The next prime is 480917137. The reversal of 480917117 is 711719084.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480917117 - 2¹² = 480913021 is a prime.

It is a super-3 number, since 3×480917117³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480917111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15488 + ... + 34665.

It is an arithmetic number, because the mean of its divisors is an integer number (61789728).

Almost surely, 2^480917117 is an apocalyptic number.

It is an amenable number.

480917117 is a deficient number, since it is larger than the sum of its proper divisors (13400707).

480917117 is a wasteful number, since it uses less digits than its factorization.

480917117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50419.

The product of its (nonzero) digits is 14112, while the sum is 38.

The square root of 480917117 is about 21929.8225483017. The cubic root of 480917117 is about 783.4718764862.

The spelling of 480917117 in words is "four hundred eighty million, nine hundred seventeen thousand, one hundred seventeen".