330288 has 40 divisors (see below), whose sum is σ = 976128. Its totient is φ = 94272.

The previous prime is 330287. The next prime is 330289. The reversal of 330288 is 882033.

330288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330287) and next prime (330289).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 827.

2³³⁰²⁸⁸ 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 330288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488064).

330288 is an abundant number, since it is smaller than the sum of its proper divisors (645840).

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

330288 is a wasteful number, since it uses less digits than its factorization.

330288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 330288 is about 574.7068818102. The cubic root of 330288 is about 69.1243295042.

The spelling of 330288 in words is "three hundred thirty thousand, two hundred eighty-eight".