444441096 has 96 divisors (see below), whose sum is σ = 1329138720. Its totient is φ = 133036800.

The previous prime is 444441089. The next prime is 444441113. The reversal of 444441096 is 690144444.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444441096.

It is an unprimeable number.

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, 62356 + ... + 69116.

It is an arithmetic number, because the mean of its divisors is an integer number (13845195).

Almost surely, 2^444441096 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 444441096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664569360).

444441096 is an abundant number, since it is smaller than the sum of its proper divisors (884697624).

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

444441096 is a wasteful number, since it uses less digits than its factorization.

444441096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 444441096 is about 21081.7716523066. The cubic root of 444441096 is about 763.1409118581.

The spelling of 444441096 in words is "four hundred forty-four million, four hundred forty-one thousand, ninety-six".