444060320 has 72 divisors (see below), whose sum is σ = 1153185012. Its totient is φ = 161469440.

The previous prime is 444060317. The next prime is 444060359. The reversal of 444060320 is 23060444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 425844496 + 18215824 = 20636^2 + 4268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7892 + ... + 30828.

Almost surely, 2^444060320 is an apocalyptic number.

444060320 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 444060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576592506).

444060320 is an abundant number, since it is smaller than the sum of its proper divisors (709124692).

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

444060320 is a wasteful number, since it uses less digits than its factorization.

444060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22974 (or 22955 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 444060320 is about 21072.7387873527. The cubic root of 444060320 is about 762.9229086381.

The spelling of 444060320 in words is "four hundred forty-four million, sixty thousand, three hundred twenty".