209242880 has 216 divisors, whose sum is σ = 632871456. Its totient is φ = 64880640.

The previous prime is 209242879. The next prime is 209242883. The reversal of 209242880 is 88242902.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 209242880.

It is not an unprimeable number, because it can be changed into a prime (209242883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084064 + ... + 1084256.

Almost surely, 2^209242880 is an apocalyptic number.

209242880 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 209242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316435728).

209242880 is an abundant number, since it is smaller than the sum of its proper divisors (423628576).

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

209242880 is a wasteful number, since it uses less digits than its factorization.

209242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 209242880 is about 14465.2300361937. The cubic root of 209242880 is about 593.6770077584.

The spelling of 209242880 in words is "two hundred nine million, two hundred forty-two thousand, eight hundred eighty".