444140320 has 96 divisors (see below), whose sum is σ = 1147220928. Its totient is φ = 161491968.

The previous prime is 444140297. The next prime is 444140357. The reversal of 444140320 is 23041444.

It is a junction number, because it is equal to n+sod(n) for n = 444140291 and 444140300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137767 + ... + 140953.

It is an arithmetic number, because the mean of its divisors is an integer number (11950218).

Almost surely, 2^444140320 is an apocalyptic number.

444140320 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 444140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573610464).

444140320 is an abundant number, since it is smaller than the sum of its proper divisors (703080608).

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

444140320 is a wasteful number, since it uses less digits than its factorization.

444140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 444140320 is about 21074.6368889241. The cubic root of 444140320 is about 762.9687208586.

Adding to 444140320 its reverse (23041444), we get a palindrome (467181764).

The spelling of 444140320 in words is "four hundred forty-four million, one hundred forty thousand, three hundred twenty".