480117165 has 32 divisors (see below), whose sum is σ = 839434752. Its totient is φ = 232392000.

The previous prime is 480117139. The next prime is 480117193. The reversal of 480117165 is 561711084.

It is a happy number.

It is not a de Polignac number, because 480117165 - 2⁵ = 480117133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111910 + ... + 116120.

It is an arithmetic number, because the mean of its divisors is an integer number (26232336).

Almost surely, 2^480117165 is an apocalyptic number.

It is an amenable number.

480117165 is a deficient number, since it is larger than the sum of its proper divisors (359317587).

480117165 is a wasteful number, since it uses less digits than its factorization.

480117165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921.

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 480117165 is about 21911.5760501156. The cubic root of 480117165 is about 783.0372293659.

The spelling of 480117165 in words is "four hundred eighty million, one hundred seventeen thousand, one hundred sixty-five".