444008 has 8 divisors (see below), whose sum is σ = 832530. Its totient is φ = 222000.

The previous prime is 444007. The next prime is 444029. The reversal of 444008 is 800444.

444008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 315844 + 128164 = 562^2 + 358^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444008.

It is not an unprimeable number, because it can be changed into a prime (444001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27743 + ... + 27758.

2⁴⁴⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

444008 is a deficient number, since it is larger than the sum of its proper divisors (388522).

444008 is a wasteful number, since it uses less digits than its factorization.

444008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55507 (or 55503 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 444008 is about 666.3392529335. The cubic root of 444008 is about 76.2892944470.

The spelling of 444008 in words is "four hundred forty-four thousand, eight".