444273984 has 504 divisors, whose sum is σ = 1707477408. Its totient is φ = 113218560.

The previous prime is 444273983. The next prime is 444274007. The reversal of 444273984 is 489372444.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444273983) 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 71 ways as a sum of consecutive naturals, for example, 8382502 + ... + 8382554.

It is an arithmetic number, because the mean of its divisors is an integer number (3387852).

Almost surely, 2^444273984 is an apocalyptic number.

444273984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853738704).

444273984 is an abundant number, since it is smaller than the sum of its proper divisors (1263203424).

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

444273984 is a wasteful number, since it uses less digits than its factorization.

444273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 444273984 is about 21077.8078556571. The cubic root of 444273984 is about 763.0452516438.

The spelling of 444273984 in words is "four hundred forty-four million, two hundred seventy-three thousand, nine hundred eighty-four".