330340920 has 256 divisors, whose sum is σ = 1233792000. Its totient is φ = 69308928.

The previous prime is 330340883. The next prime is 330340951. The reversal of 330340920 is 29043033.

330340920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 1845391 + ... + 1845569.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^330340920 is an apocalyptic number.

330340920 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 330340920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

330340920 is an abundant number, since it is smaller than the sum of its proper divisors (903451080).

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

330340920 is a wasteful number, since it uses less digits than its factorization.

330340920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 330340920 is about 18175.2832165004. The cubic root of 330340920 is about 691.2802109472.

Adding to 330340920 its reverse (29043033), we get a palindrome (359383953).

The spelling of 330340920 in words is "three hundred thirty million, three hundred forty thousand, nine hundred twenty".