330031020 has 192 divisors, whose sum is σ = 1069770240. Its totient is φ = 75264000.

The previous prime is 330031003. The next prime is 330031027. The reversal of 330031020 is 20130033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 330030987 and 330031005.

It is not an unprimeable number, because it can be changed into a prime (330031027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822820 + ... + 823220.

It is an arithmetic number, because the mean of its divisors is an integer number (5571720).

Almost surely, 2^330031020 is an apocalyptic number.

330031020 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 330031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534885120).

330031020 is an abundant number, since it is smaller than the sum of its proper divisors (739739220).

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

330031020 is a wasteful number, since it uses less digits than its factorization.

330031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 330031020 is about 18166.7559019215. The cubic root of 330031020 is about 691.0639749822.

Adding to 330031020 its reverse (20130033), we get a palindrome (350161053).

The spelling of 330031020 in words is "three hundred thirty million, thirty-one thousand, twenty".