444228120 has 144 divisors (see below), whose sum is σ = 1679520960. Its totient is φ = 101533824.

The previous prime is 444228107. The next prime is 444228121. The reversal of 444228120 is 21822444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444228121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5049 + ... + 30231.

It is an arithmetic number, because the mean of its divisors is an integer number (11663340).

Almost surely, 2^444228120 is an apocalyptic number.

444228120 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 444228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839760480).

444228120 is an abundant number, since it is smaller than the sum of its proper divisors (1235292840).

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

444228120 is a wasteful number, since it uses less digits than its factorization.

444228120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25214 (or 25200 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 444228120 is about 21076.7198586497. The cubic root of 444228120 is about 763.0189934390.

The spelling of 444228120 in words is "four hundred forty-four million, two hundred twenty-eight thousand, one hundred twenty".