444431585 has 8 divisors (see below), whose sum is σ = 574342440. Its totient is φ = 328195584.

The previous prime is 444431579. The next prime is 444431587. The reversal of 444431585 is 585134444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4145296 + 440286289 = 2036^2 + 20983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444431585 - 2¹⁰ = 444430561 is a prime.

It is a super-2 number, since 2×444431585² = 395038867491224450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444431587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3418640 + ... + 3418769.

It is an arithmetic number, because the mean of its divisors is an integer number (71792805).

Almost surely, 2^444431585 is an apocalyptic number.

It is an amenable number.

444431585 is a deficient number, since it is larger than the sum of its proper divisors (129910855).

444431585 is a wasteful number, since it uses less digits than its factorization.

444431585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837427.

The product of its digits is 153600, while the sum is 38.

The square root of 444431585 is about 21081.5460770789. The cubic root of 444431585 is about 763.1354681033.

The spelling of 444431585 in words is "four hundred forty-four million, four hundred thirty-one thousand, five hundred eighty-five".