444604000 has 96 divisors (see below), whose sum is σ = 1119448512. Its totient is φ = 173440000.

The previous prime is 444603989. The next prime is 444604001. The reversal of 444604000 is 406444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444604001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162645 + ... + 165355.

It is an arithmetic number, because the mean of its divisors is an integer number (11660922).

Almost surely, 2^444604000 is an apocalyptic number.

444604000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559724256).

444604000 is an abundant number, since it is smaller than the sum of its proper divisors (674844512).

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

444604000 is a wasteful number, since it uses less digits than its factorization.

444604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 444604000 is about 21085.6349204856. The cubic root of 444604000 is about 763.2341402012.

The spelling of 444604000 in words is "four hundred forty-four million, six hundred four thousand".