330320000 has 80 divisors (see below), whose sum is σ = 822510150. Its totient is φ = 132096000.

The previous prime is 330319999. The next prime is 330320033. The reversal of 330320000 is 23033.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 6031936 + 324288064 = 2456^2 + 18008^2 .

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

It is a super-2 number, since 2×330320000² = 218222604800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77936 + ... + 82064.

Almost surely, 2^330320000 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 330320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411255075).

330320000 is an abundant number, since it is smaller than the sum of its proper divisors (492190150).

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

330320000 is an frugal number, since it uses more digits than its factorization.

330320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 330320000 is about 18174.7077005381. The cubic root of 330320000 is about 691.2656180560.

Adding to 330320000 its reverse (23033), we get a palindrome (330343033).

The spelling of 330320000 in words is "three hundred thirty million, three hundred twenty thousand".