444812004 has 288 divisors, whose sum is σ = 1504339200. Its totient is φ = 109734912.

The previous prime is 444812003. The next prime is 444812047. The reversal of 444812004 is 400218444.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (444812003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2728827 + ... + 2728989.

It is an arithmetic number, because the mean of its divisors is an integer number (5223400).

Almost surely, 2^444812004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444812004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752169600).

444812004 is an abundant number, since it is smaller than the sum of its proper divisors (1059527196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444812004 is a wasteful number, since it uses less digits than its factorization.

444812004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 444812004 is about 21090.5667064686. The cubic root of 444812004 is about 763.3531457305.

The spelling of 444812004 in words is "four hundred forty-four million, eight hundred twelve thousand, four".