444066 has 32 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 124416.

The previous prime is 444047. The next prime is 444079. The reversal of 444066 is 660444.

444066 = T₄₃ + T₄₄ + ... + T₁₃₉.

444066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×444066² = 394389224712, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

444066 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 15 ways as a sum of consecutive naturals, for example, 4020 + ... + 4128.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2⁴⁴⁴⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440).

444066 is an abundant number, since it is smaller than the sum of its proper divisors (590814).

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

444066 is a wasteful number, since it uses less digits than its factorization.

444066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 444066 is about 666.3827728866. The cubic root of 444066 is about 76.2926161487.

The spelling of 444066 in words is "four hundred forty-four thousand, sixty-six".