444144 has 40 divisors (see below), whose sum is σ = 1210240. Its totient is φ = 139968.

The previous prime is 444131. The next prime is 444151. The reversal of 444144 is 441444.

444144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444144.

It is a congruent number.

It is an unprimeable number.

444144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (30256).

2⁴⁴⁴¹⁴⁴ 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 444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605120).

444144 is an abundant number, since it is smaller than the sum of its proper divisors (766096).

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

444144 is a wasteful number, since it uses less digits than its factorization.

444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 444144 is about 666.4412952391. The cubic root of 444144 is about 76.2970828088.

Adding to 444144 its reverse (441444), we get a palindrome (885588).

It can be divided in two parts, 444 and 144, that multiplied together give a palindrome (63936).

The spelling of 444144 in words is "four hundred forty-four thousand, one hundred forty-four", and thus it is an iban number.