330242004 has 54 divisors (see below), whose sum is σ = 872701466. Its totient is φ = 105288480.

The previous prime is 330241997. The next prime is 330242009. The reversal of 330242004 is 400242033.

It can be written as a sum of positive squares in only one way, i.e., 321843600 + 8398404 = 17940^2 + 2898^2 .

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 (330242009) 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 17 ways as a sum of consecutive naturals, for example, 10374 + ... + 27714.

Almost surely, 2^330242004 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 330242004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436350733).

330242004 is an abundant number, since it is smaller than the sum of its proper divisors (542459462).

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

330242004 is a wasteful number, since it uses less digits than its factorization.

330242004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17397 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 330242004 is about 18172.5618447152. The cubic root of 330242004 is about 691.2112059735.

Adding to 330242004 its reverse (400242033), we get a palindrome (730484037).

The spelling of 330242004 in words is "three hundred thirty million, two hundred forty-two thousand, four".