330032052 has 216 divisors, whose sum is σ = 1049848800. Its totient is φ = 86873472.

The previous prime is 330032039. The next prime is 330032057. The reversal of 330032052 is 250230033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330032057) 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, 1441074 + ... + 1441302.

Almost surely, 2^330032052 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 330032052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524924400).

330032052 is an abundant number, since it is smaller than the sum of its proper divisors (719816748).

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

330032052 is a wasteful number, since it uses less digits than its factorization.

330032052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 330032052 is about 18166.7843054295. The cubic root of 330032052 is about 691.0646952955.

Adding to 330032052 its reverse (250230033), we get a palindrome (580262085).

The spelling of 330032052 in words is "three hundred thirty million, thirty-two thousand, fifty-two".