444114324 has 72 divisors (see below), whose sum is σ = 1206511488. Its totient is φ = 137237760.

The previous prime is 444114283. The next prime is 444114373. The reversal of 444114324 is 423411444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35589 + ... + 46419.

It is an arithmetic number, because the mean of its divisors is an integer number (16757104).

Almost surely, 2^444114324 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 444114324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603255744).

444114324 is an abundant number, since it is smaller than the sum of its proper divisors (762397164).

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

444114324 is a wasteful number, since it uses less digits than its factorization.

444114324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10920 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 444114324 is about 21074.0201195690. The cubic root of 444114324 is about 762.9538347809.

Adding to 444114324 its reverse (423411444), we get a palindrome (867525768).

The spelling of 444114324 in words is "four hundred forty-four million, one hundred fourteen thousand, three hundred twenty-four".