444384576 has 112 divisors (see below), whose sum is σ = 1313281600. Its totient is φ = 147350016.

The previous prime is 444384569. The next prime is 444384583. The reversal of 444384576 is 675483444.

444384576 is a `hidden beast` number, since 4 + 44 + 38 + 4 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (444384569) and next prime (444384583).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 395151 + ... + 396273.

Almost surely, 2^444384576 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 444384576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640800).

444384576 is an abundant number, since it is smaller than the sum of its proper divisors (868897024).

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

444384576 is a wasteful number, since it uses less digits than its factorization.

444384576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1357 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 444384576 is about 21080.4311151361. The cubic root of 444384576 is about 763.1085606997.

The spelling of 444384576 in words is "four hundred forty-four million, three hundred eighty-four thousand, five hundred seventy-six".