1000330000 has 100 divisors (see below), whose sum is σ = 2440468800. Its totient is φ = 397072000.

The previous prime is 1000329991. The next prime is 1000330063. The reversal of 1000330000 is 330001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1669701 + ... + 1670299.

It is an arithmetic number, because the mean of its divisors is an integer number (24404688).

Almost surely, 2^1000330000 is an apocalyptic number.

1000330000 is a gapful number since it is divisible by the number (10) 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 1000330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220234400).

1000330000 is an abundant number, since it is smaller than the sum of its proper divisors (1440138800).

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

1000330000 is an equidigital number, since it uses as much as digits as its factorization.

1000330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 1000330000 is about 31627.9939294290. The cubic root of 1000330000 is about 1000.1099879022.

Adding to 1000330000 its reverse (330001), we get a palindrome (1000660001).

Subtracting from 1000330000 its reverse (330001), we obtain a palindrome (999999999).

The spelling of 1000330000 in words is "one billion, three hundred thirty thousand".