444114216 has 96 divisors (see below), whose sum is σ = 1480402560. Its totient is φ = 117127296.

The previous prime is 444114211. The next prime is 444114217. The reversal of 444114216 is 612411444.

444114216 is a `hidden beast` number, since 4 + 441 + 1 + 4 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 444114216.

It is not an unprimeable number, because it can be changed into a prime (444114211) 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 23 ways as a sum of consecutive naturals, for example, 27340 + ... + 40443.

It is an arithmetic number, because the mean of its divisors is an integer number (15420860).

Almost surely, 2^444114216 is an apocalyptic number.

It is an amenable number.

444114216 is an abundant number, since it is smaller than the sum of its proper divisors (1036288344).

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

444114216 is a wasteful number, since it uses less digits than its factorization.

444114216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67815 (or 67808 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 444114216 is about 21074.0175571721. The cubic root of 444114216 is about 762.9537729357.

The spelling of 444114216 in words is "four hundred forty-four million, one hundred fourteen thousand, two hundred sixteen".