330442000 has 80 divisors (see below), whose sum is σ = 913191552. Its totient is φ = 113289600.

The previous prime is 330441997. The next prime is 330442009. The reversal of 330442000 is 244033.

330442000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (330442009) 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 15 ways as a sum of consecutive naturals, for example, 2199 + ... + 25801.

Almost surely, 2^330442000 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 330442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456595776).

330442000 is an abundant number, since it is smaller than the sum of its proper divisors (582749552).

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

330442000 is a wasteful number, since it uses less digits than its factorization.

330442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23633 (or 23617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 330442000 is about 18178.0637032661. The cubic root of 330442000 is about 691.3507113240.

Adding to 330442000 its reverse (244033), we get a palindrome (330686033).

The spelling of 330442000 in words is "three hundred thirty million, four hundred forty-two thousand".