404264313 has 12 divisors (see below), whose sum is σ = 584702820. Its totient is φ = 269156256.

The previous prime is 404264293. The next prime is 404264327. The reversal of 404264313 is 313462404.

404264313 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 643 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 358458489 = 6768^2 + 18933^2 .

It is not a de Polignac number, because 404264313 - 2¹⁰ = 404263289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (404264513) 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 11 ways as a sum of consecutive naturals, for example, 22098 + ... + 36011.

It is an arithmetic number, because the mean of its divisors is an integer number (48725235).

Almost surely, 2^404264313 is an apocalyptic number.

It is an amenable number.

404264313 is a deficient number, since it is larger than the sum of its proper divisors (180438507).

404264313 is a wasteful number, since it uses less digits than its factorization.

404264313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58888 (or 58885 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 404264313 is about 20106.3251988025. The cubic root of 404264313 is about 739.4153606018.

The spelling of 404264313 in words is "four hundred four million, two hundred sixty-four thousand, three hundred thirteen".