330309120 has 160 divisors (see below), whose sum is σ = 1082743200. Its totient is φ = 85852160.

The previous prime is 330309103. The next prime is 330309121. The reversal of 330309120 is 21903033.

330309120 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 (160).

It is a super-2 number, since 2×330309120² = 218208229510348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330309121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314356 + ... + 315404.

It is an arithmetic number, because the mean of its divisors is an integer number (6767145).

Almost surely, 2^330309120 is an apocalyptic number.

330309120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541371600).

330309120 is an abundant number, since it is smaller than the sum of its proper divisors (752434080).

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

330309120 is a wasteful number, since it uses less digits than its factorization.

330309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 330309120 is about 18174.4083810175. The cubic root of 330309120 is about 691.2580283929.

The spelling of 330309120 in words is "three hundred thirty million, three hundred nine thousand, one hundred twenty".