404131309 has 2 divisors, whose sum is σ = 404131310. Its totient is φ = 404131308.

The previous prime is 404131267. The next prime is 404131331. The reversal of 404131309 is 903131404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289170025 + 114961284 = 17005^2 + 10722^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-404131309 is a prime.

It is a super-2 number, since 2×404131309² = 326644229828106962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404131909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202065654 + 202065655.

It is an arithmetic number, because the mean of its divisors is an integer number (202065655).

Almost surely, 2^404131309 is an apocalyptic number.

It is an amenable number.

404131309 is a deficient number, since it is larger than the sum of its proper divisors (1).

404131309 is an equidigital number, since it uses as much as digits as its factorization.

404131309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 404131309 is about 20103.0174103292. The cubic root of 404131309 is about 739.3342618547.

The spelling of 404131309 in words is "four hundred four million, one hundred thirty-one thousand, three hundred nine".