444642816 has 80 divisors (see below), whose sum is σ = 1193767344. Its totient is φ = 147062784.

The previous prime is 444642799. The next prime is 444642817. The reversal of 444642816 is 618246444.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444642817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209376 + ... + 211488.

Almost surely, 2^444642816 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 444642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596883672).

444642816 is an abundant number, since it is smaller than the sum of its proper divisors (749124528).

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

444642816 is a wasteful number, since it uses less digits than its factorization.

444642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2255 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 444642816 is about 21086.5553374656. Note that the first 3 decimals coincide. The cubic root of 444642816 is about 763.2563508533.

It can be divided in two parts, 4446428 and 16, that added together give a palindrome (4446444).

The spelling of 444642816 in words is "four hundred forty-four million, six hundred forty-two thousand, eight hundred sixteen".