444808 has 48 divisors (see below), whose sum is σ = 1054080. Its totient is φ = 172224.

The previous prime is 444803. The next prime is 444811. The reversal of 444808 is 808444.

444808 = T₉₇ + T₉₈ + ... + T₁₅₂.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444803) 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, 9441 + ... + 9487.

It is an arithmetic number, because the mean of its divisors is an integer number (21960).

2⁴⁴⁴⁸⁰⁸ 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 444808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527040).

444808 is an abundant number, since it is smaller than the sum of its proper divisors (609272).

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

444808 is a wasteful number, since it uses less digits than its factorization.

444808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 444808 is about 666.9392775958. The cubic root of 444808 is about 76.3350855268.

The spelling of 444808 in words is "four hundred forty-four thousand, eight hundred eight".