444249 has 12 divisors (see below), whose sum is σ = 691236. Its totient is φ = 273312.

The previous prime is 444209. The next prime is 444253. The reversal of 444249 is 942444.

444249 = 118² + 119² + ... + 143².

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 416025 = 168^2 + 645^2 .

It is not a de Polignac number, because 444249 - 2⁷ = 444121 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444249.

It is not an unprimeable number, because it can be changed into a prime (444209) 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, 1782 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (57603).

2⁴⁴⁴²⁴⁹ is an apocalyptic number.

It is an amenable number.

444249 is a deficient number, since it is larger than the sum of its proper divisors (246987).

444249 is a wasteful number, since it uses less digits than its factorization.

444249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3813 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 444249 is about 666.5200672148. The cubic root of 444249 is about 76.3030947948.

It can be divided in two parts, 4 and 44249, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 444249 in words is "four hundred forty-four thousand, two hundred forty-nine".