404628165 has 24 divisors (see below), whose sum is σ = 707798520. Its totient is φ = 213819264.

The previous prime is 404628163. The next prime is 404628173. The reversal of 404628165 is 561826404.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 400040001 = 2142^2 + 20001^2 .

It is not a de Polignac number, because 404628165 - 2¹ = 404628163 is a prime.

It is a super-2 number, since 2×404628165² = 327447903822534450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404628163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36342 + ... + 46151.

It is an arithmetic number, because the mean of its divisors is an integer number (29491605).

Almost surely, 2^404628165 is an apocalyptic number.

404628165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404628165 is a deficient number, since it is larger than the sum of its proper divisors (303170355).

404628165 is a wasteful number, since it uses less digits than its factorization.

404628165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82613 (or 82610 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 404628165 is about 20115.3713612252. The cubic root of 404628165 is about 739.6371272984.

The spelling of 404628165 in words is "four hundred four million, six hundred twenty-eight thousand, one hundred sixty-five".