404401313 has 2 divisors, whose sum is σ = 404401314. Its totient is φ = 404401312.

The previous prime is 404401267. The next prime is 404401343. The reversal of 404401313 is 313104404.

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., 339001744 + 65399569 = 18412^2 + 8087^2 .

It is a cyclic number.

It is not a de Polignac number, because 404401313 - 2²² = 400207009 is a prime.

It is a super-2 number, since 2×404401313² = 327080843912247938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (404401343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202200656 + 202200657.

It is an arithmetic number, because the mean of its divisors is an integer number (202200657).

Almost surely, 2^404401313 is an apocalyptic number.

It is an amenable number.

404401313 is a deficient number, since it is larger than the sum of its proper divisors (1).

404401313 is an equidigital number, since it uses as much as digits as its factorization.

404401313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 404401313 is about 20109.7317983110. The cubic root of 404401313 is about 739.4988773013.

Adding to 404401313 its reverse (313104404), we get a palindrome (717505717).

The spelling of 404401313 in words is "four hundred four million, four hundred one thousand, three hundred thirteen".