444334752 has 72 divisors (see below), whose sum is σ = 1307173140. Its totient is φ = 143001600.

The previous prime is 444334747. The next prime is 444334771. The reversal of 444334752 is 257433444.

It can be written as a sum of positive squares in 2 ways, for example, as 432473616 + 11861136 = 20796^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 18249 + ... + 34952.

Almost surely, 2^444334752 is an apocalyptic number.

It is an amenable number.

444334752 is an abundant number, since it is smaller than the sum of its proper divisors (862838388).

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

444334752 is a wasteful number, since it uses less digits than its factorization.

444334752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53246 (or 53235 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 444334752 is about 21079.2493224972. The cubic root of 444334752 is about 763.0800399513.

The spelling of 444334752 in words is "four hundred forty-four million, three hundred thirty-four thousand, seven hundred fifty-two".