209368144 has 40 divisors (see below), whose sum is σ = 429922880. Its totient is φ = 98496000.

The previous prime is 209368129. The next prime is 209368147. The reversal of 209368144 is 441863902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209368147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43624 + ... + 48184.

It is an arithmetic number, because the mean of its divisors is an integer number (10748072).

Almost surely, 2^209368144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209368144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214961440).

209368144 is an abundant number, since it is smaller than the sum of its proper divisors (220554736).

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

209368144 is a wasteful number, since it uses less digits than its factorization.

209368144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 209368144 is about 14469.5592192713. The cubic root of 209368144 is about 593.7954530818.

The spelling of 209368144 in words is "two hundred nine million, three hundred sixty-eight thousand, one hundred forty-four".