444243312 has 80 divisors (see below), whose sum is σ = 1309653280. Its totient is φ = 144073728.

The previous prime is 444243311. The next prime is 444243329. The reversal of 444243312 is 213342444.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444243311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088 + ... + 29880.

It is an arithmetic number, because the mean of its divisors is an integer number (16370666).

Almost surely, 2^444243312 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 444243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654826640).

444243312 is an abundant number, since it is smaller than the sum of its proper divisors (865409968).

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

444243312 is a wasteful number, since it uses less digits than its factorization.

444243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27847 (or 27835 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 444243312 is about 21077.0802532040. The cubic root of 444243312 is about 763.0276914119.

Adding to 444243312 its reverse (213342444), we get a palindrome (657585756).

The spelling of 444243312 in words is "four hundred forty-four million, two hundred forty-three thousand, three hundred twelve".