404414369 has 2 divisors, whose sum is σ = 404414370. Its totient is φ = 404414368.

The previous prime is 404414363. The next prime is 404414371. The reversal of 404414369 is 963414404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219780625 + 184633744 = 14825^2 + 13588^2 .

It is a cyclic number.

It is not a de Polignac number, because 404414369 - 2²⁰ = 403365793 is a prime.

It is a super-2 number, since 2×404414369² = 327101963707336322, which contains 22 as substring.

Together with 404414371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (404414363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202207184 + 202207185.

It is an arithmetic number, because the mean of its divisors is an integer number (202207185).

Almost surely, 2^404414369 is an apocalyptic number.

It is an amenable number.

404414369 is a deficient number, since it is larger than the sum of its proper divisors (1).

404414369 is an equidigital number, since it uses as much as digits as its factorization.

404414369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 404414369 is about 20110.0564146399. The cubic root of 404414369 is about 739.5068353974.

Adding to 404414369 its sum of digits (35), we get a palindrome (404414404).

The spelling of 404414369 in words is "four hundred four million, four hundred fourteen thousand, three hundred sixty-nine".