330132330 has 144 divisors (see below), whose sum is σ = 970343712. Its totient is φ = 77227200.

The previous prime is 330132329. The next prime is 330132331. The reversal of 330132330 is 33231033.

330132330 is a `hidden beast` number, since 3 + 301 + 32 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (330132329) and next prime (330132331).

It is a super-2 number, since 2×330132330² = 217974710622457800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (330132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 951217 + ... + 951563.

It is an arithmetic number, because the mean of its divisors is an integer number (6738498).

Almost surely, 2^330132330 is an apocalyptic number.

330132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485171856).

330132330 is an abundant number, since it is smaller than the sum of its proper divisors (640211382).

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

330132330 is a wasteful number, since it uses less digits than its factorization.

330132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 330132330 is about 18169.5440228972. The cubic root of 330132330 is about 691.1346799810.

Adding to 330132330 its reverse (33231033), we get a palindrome (363363363).

The spelling of 330132330 in words is "three hundred thirty million, one hundred thirty-two thousand, three hundred thirty".