330123252 has 48 divisors (see below), whose sum is σ = 812618240. Its totient is φ = 104019552.

The previous prime is 330123239. The next prime is 330123259. The reversal of 330123252 is 252321033.

It is a super-2 number, since 2×330123252² = 217962723022111008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330123259) 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 15 ways as a sum of consecutive naturals, for example, 123393 + ... + 126039.

Almost surely, 2^330123252 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 330123252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406309120).

330123252 is an abundant number, since it is smaller than the sum of its proper divisors (482494988).

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

330123252 is a wasteful number, since it uses less digits than its factorization.

330123252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 330123252 is about 18169.2942075360. The cubic root of 330123252 is about 691.1283449677.

Adding to 330123252 its reverse (252321033), we get a palindrome (582444285).

The spelling of 330123252 in words is "three hundred thirty million, one hundred twenty-three thousand, two hundred fifty-two".