444432 has 40 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 144256.

The previous prime is 444421. The next prime is 444443. The reversal of 444432 is 234444.

It is an interprime number because it is at equal distance from previous prime (444421) and next prime (444443).

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

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444399 and 444408.

It is an unprimeable number.

444432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158 + ... + 2354.

2⁴⁴⁴⁴³² 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 444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

444432 is an abundant number, since it is smaller than the sum of its proper divisors (734064).

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

444432 is a wasteful number, since it uses less digits than its factorization.

444432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 444432 is about 666.6573332680. The cubic root of 444432 is about 76.3135705636.

Adding to 444432 its reverse (234444), we get a palindrome (678876).

The spelling of 444432 in words is "four hundred forty-four thousand, four hundred thirty-two".