444288 has 64 divisors (see below), whose sum is σ = 1285200. Its totient is φ = 135168.

The previous prime is 444287. The next prime is 444289. The reversal of 444288 is 882444.

It is an interprime number because it is at equal distance from previous prime (444287) and next prime (444289).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4948 + ... + 5036.

2⁴⁴⁴²⁸⁸ is an apocalyptic number.

444288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600).

444288 is an abundant number, since it is smaller than the sum of its proper divisors (840912).

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

444288 is a wasteful number, since it uses less digits than its factorization.

444288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 444288 is about 666.5493230062. The cubic root of 444288 is about 76.3053275769.

The spelling of 444288 in words is "four hundred forty-four thousand, two hundred eighty-eight".