480165617 has 8 divisors (see below), whose sum is σ = 492362976. Its totient is φ = 468116352.

The previous prime is 480165611. The next prime is 480165619. The reversal of 480165617 is 716561084.

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 480165617 - 2¹⁴ = 480149233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480165611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30443 + ... + 43440.

It is an arithmetic number, because the mean of its divisors is an integer number (61545372).

Almost surely, 2^480165617 is an apocalyptic number.

It is an amenable number.

480165617 is a deficient number, since it is larger than the sum of its proper divisors (12197359).

480165617 is an equidigital number, since it uses as much as digits as its factorization.

480165617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74047.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 480165617 is about 21912.6816478495. The cubic root of 480165617 is about 783.0635690780.

The spelling of 480165617 in words is "four hundred eighty million, one hundred sixty-five thousand, six hundred seventeen".