444314320 has 80 divisors (see below), whose sum is σ = 1077931008. Its totient is φ = 170127360.

The previous prime is 444314303. The next prime is 444314327. The reversal of 444314320 is 23413444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444314327) 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, 239637 + ... + 241483.

Almost surely, 2^444314320 is an apocalyptic number.

444314320 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 444314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538965504).

444314320 is an abundant number, since it is smaller than the sum of its proper divisors (633616688).

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

444314320 is a wasteful number, since it uses less digits than its factorization.

444314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 444314320 is about 21078.7646696859. The cubic root of 444314320 is about 763.0683434468.

Adding to 444314320 its reverse (23413444), we get a palindrome (467727764).

The spelling of 444314320 in words is "four hundred forty-four million, three hundred fourteen thousand, three hundred twenty".