444438000 has 120 divisors (see below), whose sum is σ = 1552336656. Its totient is φ = 118512000.

The previous prime is 444437999. The next prime is 444438011. The reversal of 444438000 is 834444.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5655 + ... + 30345.

Almost surely, 2^444438000 is an apocalyptic number.

444438000 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 444438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776168328).

444438000 is an abundant number, since it is smaller than the sum of its proper divisors (1107898656).

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

444438000 is a wasteful number, since it uses less digits than its factorization.

444438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24720 (or 24701 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 444438000 is about 21081.6982238149. The cubic root of 444438000 is about 763.1391398274.

The spelling of 444438000 in words is "four hundred forty-four million, four hundred thirty-eight thousand".