444921984 has 160 divisors (see below), whose sum is σ = 1426364940. Its totient is φ = 136857600.

The previous prime is 444921979. The next prime is 444921991. The reversal of 444921984 is 489129444.

It can be written as a sum of positive squares in 2 ways, for example, as 392040000 + 52881984 = 19800^2 + 7272^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133134 + ... + 136434.

Almost surely, 2^444921984 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 444921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713182470).

444921984 is an abundant number, since it is smaller than the sum of its proper divisors (981442956).

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

444921984 is a wasteful number, since it uses less digits than its factorization.

444921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3319 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 444921984 is about 21093.1738721322. The cubic root of 444921984 is about 763.4160537006.

The spelling of 444921984 in words is "four hundred forty-four million, nine hundred twenty-one thousand, nine hundred eighty-four".