404444313 has 64 divisors (see below), whose sum is σ = 745489920. Its totient is φ = 211009536.

The previous prime is 404444303. The next prime is 404444323. The reversal of 404444313 is 313444404.

It is an interprime number because it is at equal distance from previous prime (404444303) and next prime (404444323).

It is not a de Polignac number, because 404444313 - 2⁵ = 404444281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (404444303) 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 63 ways as a sum of consecutive naturals, for example, 237481 + ... + 239177.

It is an arithmetic number, because the mean of its divisors is an integer number (11648280).

Almost surely, 2^404444313 is an apocalyptic number.

It is an amenable number.

404444313 is a deficient number, since it is larger than the sum of its proper divisors (341045607).

404444313 is a wasteful number, since it uses less digits than its factorization.

404444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 404444313 is about 20110.8009039919. The cubic root of 404444313 is about 739.5250866827.

Adding to 404444313 its reverse (313444404), we get a palindrome (717888717).

Subtracting from 404444313 its reverse (313444404), we obtain a palindrome (90999909).

The spelling of 404444313 in words is "four hundred four million, four hundred forty-four thousand, three hundred thirteen".