444442752 has 192 divisors, whose sum is σ = 1403438400. Its totient is φ = 134166528.

The previous prime is 444442741. The next prime is 444442759. The reversal of 444442752 is 257244444.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (444442759) 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 23 ways as a sum of consecutive naturals, for example, 883333 + ... + 883835.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^444442752 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 444442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

444442752 is an abundant number, since it is smaller than the sum of its proper divisors (958995648).

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

444442752 is a wasteful number, since it uses less digits than its factorization.

444442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its digits is 143360, while the sum is 36.

The square root of 444442752 is about 21081.8109279065. The cubic root of 444442752 is about 763.1418596850.

The spelling of 444442752 in words is "four hundred forty-four million, four hundred forty-two thousand, seven hundred fifty-two".