444332000 has 144 divisors (see below), whose sum is σ = 1270524528. Its totient is φ = 152275200.

The previous prime is 444331999. The next prime is 444332003. The reversal of 444332000 is 233444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444332003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194867 + ... + 197133.

It is an arithmetic number, because the mean of its divisors is an integer number (8823087).

Almost surely, 2^444332000 is an apocalyptic number.

444332000 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 444332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635262264).

444332000 is an abundant number, since it is smaller than the sum of its proper divisors (826192528).

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

444332000 is a wasteful number, since it uses less digits than its factorization.

444332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 444332000 is about 21079.1840449293. The cubic root of 444332000 is about 763.0784645620.

Adding to 444332000 its reverse (233444), we get a palindrome (444565444).

The spelling of 444332000 in words is "four hundred forty-four million, three hundred thirty-two thousand".