444457984 has 44 divisors (see below), whose sum is σ = 892663948. Its totient is φ = 221184000.

The previous prime is 444457969. The next prime is 444457987. The reversal of 444457984 is 489754444.

It can be written as a sum of positive squares in 2 ways, for example, as 188457984 + 256000000 = 13728^2 + 16000^2 .

It is not an unprimeable number, because it can be changed into a prime (444457987) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 245884 + ... + 247684.

It is an arithmetic number, because the mean of its divisors is an integer number (20287817).

Almost surely, 2^444457984 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 444457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446331974).

444457984 is an abundant number, since it is smaller than the sum of its proper divisors (448205964).

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

444457984 is a wasteful number, since it uses less digits than its factorization.

444457984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2044 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The square root of 444457984 is about 21082.1721840991. The cubic root of 444457984 is about 763.1505777512.

The spelling of 444457984 in words is "four hundred forty-four million, four hundred fifty-seven thousand, nine hundred eighty-four".