444741216 has 96 divisors (see below), whose sum is σ = 1278879840. Its totient is φ = 134701056.

The previous prime is 444741191. The next prime is 444741247. The reversal of 444741216 is 612147444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42630 + ... + 52026.

It is an arithmetic number, because the mean of its divisors is an integer number (13321665).

Almost surely, 2^444741216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639439920).

444741216 is an abundant number, since it is smaller than the sum of its proper divisors (834138624).

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

444741216 is a wasteful number, since it uses less digits than its factorization.

444741216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456 (or 9448 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 444741216 is about 21088.8884486594. Note that the first 3 decimals coincide. The cubic root of 444741216 is about 763.3126498891.

The spelling of 444741216 in words is "four hundred forty-four million, seven hundred forty-one thousand, two hundred sixteen".