444414321 has 12 divisors (see below), whose sum is σ = 691311348. Its totient is φ = 273485664.

The previous prime is 444414317. The next prime is 444414343. The reversal of 444414321 is 123414444.

It can be written as a sum of positive squares in 2 ways, for example, as 235929600 + 208484721 = 15360^2 + 14439^2 .

It is not a de Polignac number, because 444414321 - 2² = 444414317 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444414361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1899090 + ... + 1899323.

It is an arithmetic number, because the mean of its divisors is an integer number (57609279).

Almost surely, 2^444414321 is an apocalyptic number.

It is an amenable number.

444414321 is a deficient number, since it is larger than the sum of its proper divisors (246897027).

444414321 is a wasteful number, since it uses less digits than its factorization.

444414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798432 (or 3798429 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 444414321 is about 21081.1366154674. The cubic root of 444414321 is about 763.1255866114.

Adding to 444414321 its reverse (123414444), we get a palindrome (567828765).

The spelling of 444414321 in words is "four hundred forty-four million, four hundred fourteen thousand, three hundred twenty-one".