330444 has 36 divisors (see below), whose sum is σ = 853944. Its totient is φ = 107712.

The previous prime is 330439. The next prime is 330469. The reversal of 330444 is 444033.

330444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

330444 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 11 ways as a sum of consecutive naturals, for example, 2344 + ... + 2480.

2³³⁰⁴⁴⁴ 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 330444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426972).

330444 is an abundant number, since it is smaller than the sum of its proper divisors (523500).

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

330444 is a wasteful number, since it uses less digits than its factorization.

330444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 330444 is about 574.8425871489. The cubic root of 330444 is about 69.1352106121.

Adding to 330444 its reverse (444033), we get a palindrome (774477).

The spelling of 330444 in words is "three hundred thirty thousand, four hundred forty-four".