404768507 has 32 divisors (see below), whose sum is σ = 489404160. Its totient is φ = 329915520.

The previous prime is 404768491. The next prime is 404768527. The reversal of 404768507 is 705867404.

It is not a de Polignac number, because 404768507 - 2⁴ = 404768491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404768527) by changing a digit.

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, 794969 + ... + 795477.

It is an arithmetic number, because the mean of its divisors is an integer number (15293880).

Almost surely, 2^404768507 is an apocalyptic number.

404768507 is a deficient number, since it is larger than the sum of its proper divisors (84635653).

404768507 is a wasteful number, since it uses less digits than its factorization.

404768507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 404768507 is about 20118.8594855673. The cubic root of 404768507 is about 739.7226297951.

The spelling of 404768507 in words is "four hundred four million, seven hundred sixty-eight thousand, five hundred seven".