330800960 has 252 divisors, whose sum is σ = 986733612. Its totient is φ = 105283584.

The previous prime is 330800933. The next prime is 330801007. The reversal of 330800960 is 69008033.

It can be written as a sum of positive squares in 6 ways, for example, as 21603904 + 309197056 = 4648^2 + 17584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4531484 + ... + 4531556.

Almost surely, 2^330800960 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 330800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493366806).

330800960 is an abundant number, since it is smaller than the sum of its proper divisors (655932652).

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

330800960 is a wasteful number, since it uses less digits than its factorization.

330800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 330800960 is about 18187.9344621647. The cubic root of 330800960 is about 691.6009594200.

Adding to 330800960 its reverse (69008033), we get a palindrome (399808993).

The spelling of 330800960 in words is "three hundred thirty million, eight hundred thousand, nine hundred sixty".