209904768 has 48 divisors (see below), whose sum is σ = 604026150. Its totient is φ = 69967872.

The previous prime is 209904767. The next prime is 209904781. The reversal of 209904768 is 867409902.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 202549824 + 7354944 = 14232^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (209904767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89953 + ... + 92256.

Almost surely, 2^209904768 is an apocalyptic number.

It is an amenable number.

209904768 is an abundant number, since it is smaller than the sum of its proper divisors (394121382).

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

209904768 is a wasteful number, since it uses less digits than its factorization.

209904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182229 (or 182214 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 209904768 is about 14488.0905574199. The cubic root of 209904768 is about 594.3023322347.

The spelling of 209904768 in words is "two hundred nine million, nine hundred four thousand, seven hundred sixty-eight".