404115985 has 48 divisors (see below), whose sum is σ = 611734032. Its totient is φ = 254016000.

The previous prime is 404115979. The next prime is 404115989. The reversal of 404115985 is 589511404.

It can be written as a sum of positive squares in 8 ways, for example, as 62346816 + 341769169 = 7896^2 + 18487^2 .

It is not a de Polignac number, because 404115985 - 2³ = 404115977 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404115989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576135 + ... + 576835.

It is an arithmetic number, because the mean of its divisors is an integer number (12744459).

Almost surely, 2^404115985 is an apocalyptic number.

It is an amenable number.

404115985 is a deficient number, since it is larger than the sum of its proper divisors (207618047).

404115985 is a wasteful number, since it uses less digits than its factorization.

404115985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

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

The square root of 404115985 is about 20102.6362699025. The cubic root of 404115985 is about 739.3249169535.

The spelling of 404115985 in words is "four hundred four million, one hundred fifteen thousand, nine hundred eighty-five".