444312360 has 96 divisors (see below), whose sum is σ = 1450486440. Its totient is φ = 117952512.

The previous prime is 444312343. The next prime is 444312361. The reversal of 444312360 is 63213444.

It can be written as a sum of positive squares in 4 ways, for example, as 359709156 + 84603204 = 18966^2 + 9198^2 .

It is not an unprimeable number, because it can be changed into a prime (444312361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81232 + ... + 86528.

Almost surely, 2^444312360 is an apocalyptic number.

444312360 is a gapful number since it is divisible by the number (40) 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 444312360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243220).

444312360 is an abundant number, since it is smaller than the sum of its proper divisors (1006174080).

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

444312360 is a wasteful number, since it uses less digits than its factorization.

444312360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 444312360 is about 21078.7181773466. The cubic root of 444312360 is about 763.0672214061.

The spelling of 444312360 in words is "four hundred forty-four million, three hundred twelve thousand, three hundred sixty".