444411216 has 180 divisors, whose sum is σ = 1341351648. Its totient is φ = 137303424.

The previous prime is 444411199. The next prime is 444411239. The reversal of 444411216 is 612114444.

444411216 is a `hidden beast` number, since 4 + 4 + 441 + 1 + 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 444411216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4314621 + ... + 4314723.

Almost surely, 2^444411216 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 444411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670675824).

444411216 is an abundant number, since it is smaller than the sum of its proper divisors (896940432).

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

444411216 is a wasteful number, since it uses less digits than its factorization.

444411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

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

The square root of 444411216 is about 21081.0629713020. The cubic root of 444411216 is about 763.1238093581.

The spelling of 444411216 in words is "four hundred forty-four million, four hundred eleven thousand, two hundred sixteen".