330838000 has 80 divisors (see below), whose sum is σ = 810010656. Its totient is φ = 130675200.

The previous prime is 330837977. The next prime is 330838007. The reversal of 330838000 is 838033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330838007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165004 + ... + 166996.

Almost surely, 2^330838000 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 330838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405005328).

330838000 is an abundant number, since it is smaller than the sum of its proper divisors (479172656).

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

330838000 is a wasteful number, since it uses less digits than its factorization.

330838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 330838000 is about 18188.9526911255. The cubic root of 330838000 is about 691.6267714606.

The spelling of 330838000 in words is "three hundred thirty million, eight hundred thirty-eight thousand".