444144064 has 56 divisors (see below), whose sum is σ = 1084750688. Its totient is φ = 175703040.

The previous prime is 444144061. The next prime is 444144073. The reversal of 444144064 is 460441444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444144061) 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 7 ways as a sum of consecutive naturals, for example, 32307 + ... + 43954.

It is an arithmetic number, because the mean of its divisors is an integer number (19370548).

Almost surely, 2^444144064 is an apocalyptic number.

It is an amenable number.

444144064 is an abundant number, since it is smaller than the sum of its proper divisors (640606624).

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

444144064 is a wasteful number, since it uses less digits than its factorization.

444144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76293 (or 76283 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The square root of 444144064 is about 21074.7257158901. The cubic root of 444144064 is about 762.9708647357.

The spelling of 444144064 in words is "four hundred forty-four million, one hundred forty-four thousand, sixty-four".