209830320 has 480 divisors, whose sum is σ = 891371520. Its totient is φ = 43130880.

The previous prime is 209830279. The next prime is 209830321. The reversal of 209830320 is 23038902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209830321) 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, 2656041 + ... + 2656119.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^209830320 is an apocalyptic number.

209830320 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 209830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445685760).

209830320 is an abundant number, since it is smaller than the sum of its proper divisors (681541200).

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

209830320 is a wasteful number, since it uses less digits than its factorization.

209830320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 209830320 is about 14485.5210468937. The cubic root of 209830320 is about 594.2320625082.

The spelling of 209830320 in words is "two hundred nine million, eight hundred thirty thousand, three hundred twenty".