209984144 has 20 divisors (see below), whose sum is σ = 407132796. Its totient is φ = 104917632.

The previous prime is 209984123. The next prime is 209984149. The reversal of 209984144 is 441489902.

It can be written as a sum of positive squares in 2 ways, for example, as 171295744 + 38688400 = 13088^2 + 6220^2 .

It is not an unprimeable number, because it can be changed into a prime (209984149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23942 + ... + 31514.

Almost surely, 2^209984144 is an apocalyptic number.

It is an amenable number.

209984144 is a deficient number, since it is larger than the sum of its proper divisors (197148652).

209984144 is a wasteful number, since it uses less digits than its factorization.

209984144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 209984144 is about 14490.8296518867. The cubic root of 209984144 is about 594.3772350861.

The spelling of 209984144 in words is "two hundred nine million, nine hundred eighty-four thousand, one hundred forty-four".