444071329 has 9 divisors (see below), whose sum is σ = 481155129. Its totient is φ = 409659120.

The previous prime is 444071279. The next prime is 444071357. The reversal of 444071329 is 923170444.

It is a happy number.

The square root of 444071329 is 21073.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5085025 + 438986304 = 2255^2 + 20952^2 .

It is not a de Polignac number, because 444071329 - 2⁹ = 444070817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444071294 and 444071303.

It is not an unprimeable number, because it can be changed into a prime (444071359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 273139 + ... + 274759.

It is an arithmetic number, because the mean of its divisors is an integer number (53461681).

Almost surely, 2^444071329 is an apocalyptic number.

444071329 is the 21073-rd square number.

444071329 is the 10537-th centered octagonal number.

It is an amenable number.

444071329 is a deficient number, since it is larger than the sum of its proper divisors (37083800).

444071329 is an frugal number, since it uses more digits than its factorization.

444071329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 444071329 is about 762.9292132987.

The spelling of 444071329 in words is "four hundred forty-four million, seventy-one thousand, three hundred twenty-nine".