330120288 has 288 divisors, whose sum is σ = 1072431360. Its totient is φ = 95800320.

The previous prime is 330120283. The next prime is 330120317. The reversal of 330120288 is 882021033.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5411778 + ... + 5411838.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^330120288 is an apocalyptic number.

330120288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330120288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

330120288 is an abundant number, since it is smaller than the sum of its proper divisors (742311072).

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

330120288 is a wasteful number, since it uses less digits than its factorization.

330120288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 330120288 is about 18169.2126411686. The cubic root of 330120288 is about 691.1262765376.

The spelling of 330120288 in words is "three hundred thirty million, one hundred twenty thousand, two hundred eighty-eight".