444376320 has 144 divisors (see below), whose sum is σ = 1465400832. Its totient is φ = 114647040.

The previous prime is 444376297. The next prime is 444376333. The reversal of 444376320 is 23673444.

It is a congruent number.

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, 117174 + ... + 120906.

Almost surely, 2^444376320 is an apocalyptic number.

444376320 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 444376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732700416).

444376320 is an abundant number, since it is smaller than the sum of its proper divisors (1021024512).

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

444376320 is a wasteful number, since it uses less digits than its factorization.

444376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 444376320 is about 21080.2352928045. The cubic root of 444376320 is about 763.1038348656.

The spelling of 444376320 in words is "four hundred forty-four million, three hundred seventy-six thousand, three hundred twenty".