416581165 has 32 divisors (see below), whose sum is σ = 671198976. Its totient is φ = 239708160.

The previous prime is 416581159. The next prime is 416581177. The reversal of 416581165 is 561185614.

It is not a de Polignac number, because 416581165 - 2³ = 416581157 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36612 + ... + 46621.

It is an arithmetic number, because the mean of its divisors is an integer number (20974968).

Almost surely, 2^416581165 is an apocalyptic number.

It is an amenable number.

416581165 is a deficient number, since it is larger than the sum of its proper divisors (254617811).

416581165 is a wasteful number, since it uses less digits than its factorization.

416581165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83269.

The product of its digits is 28800, while the sum is 37.

The square root of 416581165 is about 20410.3200611847. The cubic root of 416581165 is about 746.8496985879.

It can be divided in two parts, 416 and 581165, that added together give a triangular number (581581 = T₁₀₇₈).

The spelling of 416581165 in words is "four hundred sixteen million, five hundred eighty-one thousand, one hundred sixty-five".