444834816 has 88 divisors (see below), whose sum is σ = 1199705760. Its totient is φ = 146522112.

The previous prime is 444834811. The next prime is 444834833. The reversal of 444834816 is 618438444.

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

It is not an unprimeable number, because it can be changed into a prime (444834811) 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, 272595 + ... + 274221.

It is an arithmetic number, because the mean of its divisors is an integer number (13633020).

Almost surely, 2^444834816 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 444834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599852880).

444834816 is an abundant number, since it is smaller than the sum of its proper divisors (754870944).

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

444834816 is a wasteful number, since it uses less digits than its factorization.

444834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1721 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 444834816 is about 21091.1075100384. The cubic root of 444834816 is about 763.3661949245.

The spelling of 444834816 in words is "four hundred forty-four million, eight hundred thirty-four thousand, eight hundred sixteen".