444132 has 54 divisors (see below), whose sum is σ = 1232322. Its totient is φ = 134784.

The previous prime is 444131. The next prime is 444151. The reversal of 444132 is 231444.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 443556 = 24^2 + 666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (444131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6048 + ... + 6120.

2⁴⁴⁴¹³² 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 444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616161).

444132 is an abundant number, since it is smaller than the sum of its proper divisors (788190).

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

444132 is a wasteful number, since it uses less digits than its factorization.

444132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 444132 is about 666.4322921348. The cubic root of 444132 is about 76.2963956644.

Adding to 444132 its reverse (231444), we get a palindrome (675576).

It can be divided in two parts, 444 and 132, that added together give a square (576 = 24²).

The spelling of 444132 in words is "four hundred forty-four thousand, one hundred thirty-two".