330145820 has 48 divisors (see below), whose sum is σ = 714178080. Its totient is φ = 128104704.

The previous prime is 330145801. The next prime is 330145853. The reversal of 330145820 is 28541033.

It is a self number, because there is not a number n which added to its sum of digits gives 330145820.

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 15 ways as a sum of consecutive naturals, for example, 487322 + ... + 487998.

It is an arithmetic number, because the mean of its divisors is an integer number (14878710).

Almost surely, 2^330145820 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 330145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357089040).

330145820 is an abundant number, since it is smaller than the sum of its proper divisors (384032260).

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

330145820 is a wasteful number, since it uses less digits than its factorization.

330145820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 330145820 is about 18169.9152447115. The cubic root of 330145820 is about 691.1440936605.

Adding to 330145820 its reverse (28541033), we get a palindrome (358686853).

The spelling of 330145820 in words is "three hundred thirty million, one hundred forty-five thousand, eight hundred twenty".