444042324 has 120 divisors (see below), whose sum is σ = 1321645248. Its totient is φ = 128684160.

The previous prime is 444042317. The next prime is 444042349. The reversal of 444042324 is 423240444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79264 + ... + 84680.

Almost surely, 2^444042324 is an apocalyptic number.

444042324 is a gapful number since it is divisible by the number (44) 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 444042324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660822624).

444042324 is an abundant number, since it is smaller than the sum of its proper divisors (877602924).

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

444042324 is a wasteful number, since it uses less digits than its factorization.

444042324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 444042324 is about 21072.3117858483. The cubic root of 444042324 is about 762.9126024210.

Adding to 444042324 its reverse (423240444), we get a palindrome (867282768).

It can be divided in two parts, 4440 and 42324, that added together give a palindrome (46764).

The spelling of 444042324 in words is "four hundred forty-four million, forty-two thousand, three hundred twenty-four".