330305020 has 48 divisors (see below), whose sum is σ = 714067200. Its totient is φ = 128263680.

The previous prime is 330305011. The next prime is 330305023. The reversal of 330305020 is 20503033.

It is a junction number, because it is equal to n+sod(n) for n = 330304985 and 330305003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330305023) 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, 186901 + ... + 188659.

It is an arithmetic number, because the mean of its divisors is an integer number (14876400).

Almost surely, 2^330305020 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 330305020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357033600).

330305020 is an abundant number, since it is smaller than the sum of its proper divisors (383762180).

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

330305020 is a wasteful number, since it uses less digits than its factorization.

330305020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 330305020 is about 18174.2955846987. The cubic root of 330305020 is about 691.2551682745.

Adding to 330305020 its reverse (20503033), we get a palindrome (350808053).

The spelling of 330305020 in words is "three hundred thirty million, three hundred five thousand, twenty".