209898000 has 480 divisors, whose sum is σ = 849588480. Its totient is φ = 49420800.

The previous prime is 209897999. The next prime is 209898001. The reversal of 209898000 is 898902.

It is an interprime number because it is at equal distance from previous prime (209897999) and next prime (209898001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (209898001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9125989 + ... + 9126011.

It is an arithmetic number, because the mean of its divisors is an integer number (1769976).

Almost surely, 2^209898000 is an apocalyptic number.

209898000 is a gapful number since it is divisible by the number (20) 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 209898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424794240).

209898000 is an abundant number, since it is smaller than the sum of its proper divisors (639690480).

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

209898000 is a wasteful number, since it uses less digits than its factorization.

209898000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 209898000 is about 14487.8569843852. The cubic root of 209898000 is about 594.2959447644.

The spelling of 209898000 in words is "two hundred nine million, eight hundred ninety-eight thousand".