444113340 has 192 divisors, whose sum is σ = 1408942080. Its totient is φ = 103599360.

The previous prime is 444113339. The next prime is 444113357. The reversal of 444113340 is 43311444.

It is a self number, because there is not a number n which added to its sum of digits gives 444113340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3194991 + ... + 3195129.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^444113340 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 444113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

444113340 is an abundant number, since it is smaller than the sum of its proper divisors (964828740).

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

444113340 is a wasteful number, since it uses less digits than its factorization.

444113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 444113340 is about 21073.9967732749. The cubic root of 444113340 is about 762.9532713020.

Adding to 444113340 its reverse (43311444), we get a palindrome (487424784).

The spelling of 444113340 in words is "four hundred forty-four million, one hundred thirteen thousand, three hundred forty".