330213000 has 128 divisors (see below), whose sum is σ = 1109646720. Its totient is φ = 81273600.

The previous prime is 330212999. The next prime is 330213011. The reversal of 330213000 is 312033.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34767 + ... + 43233.

It is an arithmetic number, because the mean of its divisors is an integer number (8669115).

Almost surely, 2^330213000 is an apocalyptic number.

330213000 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 330213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554823360).

330213000 is an abundant number, since it is smaller than the sum of its proper divisors (779433720).

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

330213000 is a wasteful number, since it uses less digits than its factorization.

330213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8490 counting only the distinct ones).

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

The square root of 330213000 is about 18171.7638109238. The cubic root of 330213000 is about 691.1909698269.

Adding to 330213000 its reverse (312033), we get a palindrome (330525033).

The spelling of 330213000 in words is "three hundred thirty million, two hundred thirteen thousand".