444911616 has 182 divisors, whose sum is σ = 1342914450. Its totient is φ = 147308544.

The previous prime is 444911611. The next prime is 444911681. The reversal of 444911616 is 616119444.

444911616 is a `hidden beast` number, since 4 + 4 + 491 + 161 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298598400 + 146313216 = 17280^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444911611) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985910 + ... + 2986058.

Almost surely, 2^444911616 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 444911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671457225).

444911616 is an abundant number, since it is smaller than the sum of its proper divisors (898002834).

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

444911616 is an frugal number, since it uses more digits than its factorization.

444911616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 444911616 is about 21092.9281039878. The cubic root of 444911616 is about 763.4101237029.

The spelling of 444911616 in words is "four hundred forty-four million, nine hundred eleven thousand, six hundred sixteen".