444041000 has 64 divisors (see below), whose sum is σ = 1119016080. Its totient is φ = 163948800.

The previous prime is 444040999. The next prime is 444041027. The reversal of 444041000 is 140444.

It can be written as a sum of positive squares in 8 ways, for example, as 6980164 + 437060836 = 2642^2 + 20906^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444041000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4079 + ... + 30078.

Almost surely, 2^444041000 is an apocalyptic number.

444041000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444041000 is an abundant number, since it is smaller than the sum of its proper divisors (674975080).

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

444041000 is a wasteful number, since it uses less digits than its factorization.

444041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34191 (or 34177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 444041000 is about 21072.2803701925. The cubic root of 444041000 is about 762.9118441620.

Adding to 444041000 its reverse (140444), we get a palindrome (444181444).

The spelling of 444041000 in words is "four hundred forty-four million, forty-one thousand".