444888 has 48 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 143424.

The previous prime is 444887. The next prime is 444893. The reversal of 444888 is 888444.

It is a Cunningham number, because it is equal to 667²-1.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2581 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁴⁴⁴⁸⁸⁸ 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 444888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

444888 is an abundant number, since it is smaller than the sum of its proper divisors (799992).

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

444888 is a wasteful number, since it uses less digits than its factorization.

444888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 444888 is about 666.9992503744. Note that the first 3 decimals coincide. The cubic root of 444888 is about 76.3396616142.

Subtracting 444888 from its reverse (888444), we obtain a square (443556 = 666²).

The spelling of 444888 in words is "four hundred forty-four thousand, eight hundred eighty-eight".