444414432 has 192 divisors, whose sum is σ = 1480550400. Its totient is φ = 113364480.

The previous prime is 444414413. The next prime is 444414449. The reversal of 444414432 is 234414444.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444414432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435619 + ... + 436637.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^444414432 is an apocalyptic number.

444414432 is a gapful number since it is divisible by the number (42) 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 444414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

444414432 is an abundant number, since it is smaller than the sum of its proper divisors (1036135968).

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

444414432 is a wasteful number, since it uses less digits than its factorization.

444414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 444414432 is about 21081.1392481526. The cubic root of 444414432 is about 763.1256501459.

Adding to 444414432 its reverse (234414444), we get a palindrome (678828876).

The spelling of 444414432 in words is "four hundred forty-four million, four hundred fourteen thousand, four hundred thirty-two".