330224000 has 64 divisors (see below), whose sum is σ = 821059200. Its totient is φ = 132083200.

The previous prime is 330223991. The next prime is 330224017. The reversal of 330224000 is 422033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5681 + ... + 26319.

It is an arithmetic number, because the mean of its divisors is an integer number (12829050).

Almost surely, 2^330224000 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 330224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410529600).

330224000 is an abundant number, since it is smaller than the sum of its proper divisors (490835200).

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

330224000 is an equidigital number, since it uses as much as digits as its factorization.

330224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20668 (or 20646 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 330224000 is about 18172.0664757754. The cubic root of 330224000 is about 691.1986446876.

Adding to 330224000 its reverse (422033), we get a palindrome (330646033).

The spelling of 330224000 in words is "three hundred thirty million, two hundred twenty-four thousand".