330330132 has 72 divisors (see below), whose sum is σ = 928156320. Its totient is φ = 98205120.

The previous prime is 330330103. The next prime is 330330139. The reversal of 330330132 is 231033033.

330330132 is a `hidden beast` number, since 330 + 3 + 301 + 32 = 666.

It is a super-2 number, since 2×330330132² = 218235992214274848, which contains 22 as substring.

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 (330330139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13119 + ... + 28857.

It is an arithmetic number, because the mean of its divisors is an integer number (12891060).

Almost surely, 2^330330132 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 330330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464078160).

330330132 is an abundant number, since it is smaller than the sum of its proper divisors (597826188).

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

330330132 is a wasteful number, since it uses less digits than its factorization.

330330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813 (or 15808 counting only the distinct ones).

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

The square root of 330330132 is about 18174.9864374090. The cubic root of 330330132 is about 691.2726857799.

Adding to 330330132 its reverse (231033033), we get a palindrome (561363165).

The spelling of 330330132 in words is "three hundred thirty million, three hundred thirty thousand, one hundred thirty-two".