330084820 has 48 divisors (see below), whose sum is σ = 747830160. Its totient is φ = 121660416.

The previous prime is 330084817. The next prime is 330084857. The reversal of 330084820 is 28480033.

It can be written as a sum of positive squares in 8 ways, for example, as 42850116 + 287234704 = 6546^2 + 16948^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267966 + ... + 269194.

It is an arithmetic number, because the mean of its divisors is an integer number (15579795).

Almost surely, 2^330084820 is an apocalyptic number.

It is an amenable number.

330084820 is an abundant number, since it is smaller than the sum of its proper divisors (417745340).

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

330084820 is a wasteful number, since it uses less digits than its factorization.

330084820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 330084820 is about 18168.2365682528. The cubic root of 330084820 is about 691.1015242018.

The spelling of 330084820 in words is "three hundred thirty million, eighty-four thousand, eight hundred twenty".