444906 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 114480.

The previous prime is 444901. The next prime is 444929. The reversal of 444906 is 609444.

444906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 444906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444906.

It is not an unprimeable number, because it can be changed into a prime (444901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4105 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴⁴⁴⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

444906 is an abundant number, since it is smaller than the sum of its proper divisors (799254).

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

444906 is a wasteful number, since it uses less digits than its factorization.

444906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 444906 is about 667.0127435064. The cubic root of 444906 is about 76.3406911582.

It can be divided in two parts, 44 and 4906, that added together give a triangular number (4950 = T₉₉).

The spelling of 444906 in words is "four hundred forty-four thousand, nine hundred six".