480775165 has 16 divisors (see below), whose sum is σ = 627722928. Its totient is φ = 351369216.

The previous prime is 480775133. The next prime is 480775177. The reversal of 480775165 is 561577084.

It can be written as a sum of positive squares in 8 ways, for example, as 73462041 + 407313124 = 8571^2 + 20182^2 .

It is a cyclic number.

It is not a de Polignac number, because 480775165 - 2⁵ = 480775133 is a prime.

It is a super-3 number, since 3×480775165³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 31822 + ... + 44431.

It is an arithmetic number, because the mean of its divisors is an integer number (39232683).

Almost surely, 2^480775165 is an apocalyptic number.

It is an amenable number.

480775165 is a deficient number, since it is larger than the sum of its proper divisors (146947763).

480775165 is a wasteful number, since it uses less digits than its factorization.

480775165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76368.

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 480775165 is about 21926.5858035400. The cubic root of 480775165 is about 783.3947832685.

The spelling of 480775165 in words is "four hundred eighty million, seven hundred seventy-five thousand, one hundred sixty-five".