330201320 has 96 divisors (see below), whose sum is σ = 787331880. Its totient is φ = 124531200.

The previous prime is 330201299. The next prime is 330201329. The reversal of 330201320 is 23102033.

It can be written as a sum of positive squares in 4 ways, for example, as 329132164 + 1069156 = 18142^2 + 1034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330201295 and 330201304.

It is not an unprimeable number, because it can be changed into a prime (330201329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3269270 + ... + 3269370.

Almost surely, 2^330201320 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 330201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393665940).

330201320 is an abundant number, since it is smaller than the sum of its proper divisors (457130560).

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

330201320 is a wasteful number, since it uses less digits than its factorization.

330201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 330201320 is about 18171.4424303631. The cubic root of 330201320 is about 691.1828203338.

Adding to 330201320 its reverse (23102033), we get a palindrome (353303353).

It can be divided in two parts, 3302013 and 20, that added together give a palindrome (3302033).

The spelling of 330201320 in words is "three hundred thirty million, two hundred one thousand, three hundred twenty".