444512 has 24 divisors (see below), whose sum is σ = 907200. Its totient is φ = 214144.

The previous prime is 444487. The next prime is 444517. The reversal of 444512 is 215444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444517) by changing a digit.

444512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 689 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁴⁴⁴⁵¹² 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 444512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

444512 is an abundant number, since it is smaller than the sum of its proper divisors (462688).

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

444512 is a wasteful number, since it uses less digits than its factorization.

444512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its digits is 640, while the sum is 20.

The square root of 444512 is about 666.7173314081. The cubic root of 444512 is about 76.3181492313.

Adding to 444512 its reverse (215444), we get a palindrome (659956).

The spelling of 444512 in words is "four hundred forty-four thousand, five hundred twelve".