444004405 has 24 divisors (see below), whose sum is σ = 582998472. Its totient is φ = 324440064.

The previous prime is 444004391. The next prime is 444004427. The reversal of 444004405 is 504400444.

It can be written as a sum of positive squares in 12 ways, for example, as 362445444 + 81558961 = 19038^2 + 9031^2 .

It is not a de Polignac number, because 444004405 - 2⁹ = 444003893 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444004405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79257 + ... + 84673.

It is an arithmetic number, because the mean of its divisors is an integer number (24291603).

Almost surely, 2^444004405 is an apocalyptic number.

It is an amenable number.

444004405 is a deficient number, since it is larger than the sum of its proper divisors (138994067).

444004405 is a wasteful number, since it uses less digits than its factorization.

444004405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 444004405 is about 21071.4120314705. The cubic root of 444004405 is about 762.8908854923.

Adding to 444004405 its reverse (504400444), we get a palindrome (948404849).

The spelling of 444004405 in words is "four hundred forty-four million, four thousand, four hundred five".