330833000 has 64 divisors (see below), whose sum is σ = 790732800. Its totient is φ = 129499200.

The previous prime is 330832987. The next prime is 330833029. The reversal of 330833000 is 338033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 43481 + ... + 50519.

It is an arithmetic number, because the mean of its divisors is an integer number (12355200).

Almost surely, 2^330833000 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 330833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395366400).

330833000 is an abundant number, since it is smaller than the sum of its proper divisors (459899800).

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

330833000 is a wasteful number, since it uses less digits than its factorization.

330833000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7093 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 330833000 is about 18188.8152445397. The cubic root of 330833000 is about 691.6232872264.

The spelling of 330833000 in words is "three hundred thirty million, eight hundred thirty-three thousand".