444747329 has 12 divisors (see below), whose sum is σ = 487017900. Its totient is φ = 405909504.

The previous prime is 444747311. The next prime is 444747349. The reversal of 444747329 is 923747444.

It can be written as a sum of positive squares in 6 ways, for example, as 117137329 + 327610000 = 10823^2 + 18100^2 .

It is not a de Polignac number, because 444747329 - 2²⁸ = 176311873 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 444747329.

It is not an unprimeable number, because it can be changed into a prime (444747349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257 + ... + 29825.

It is an arithmetic number, because the mean of its divisors is an integer number (40584825).

Almost surely, 2^444747329 is an apocalyptic number.

It is an amenable number.

444747329 is a deficient number, since it is larger than the sum of its proper divisors (42270571).

444747329 is a wasteful number, since it uses less digits than its factorization.

444747329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29684 (or 29671 counting only the distinct ones).

The product of its digits is 677376, while the sum is 44.

The square root of 444747329 is about 21089.0333823056. The cubic root of 444747329 is about 763.3161471355.

The spelling of 444747329 in words is "four hundred forty-four million, seven hundred forty-seven thousand, three hundred twenty-nine".