209050464 has 144 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 56560896.

The previous prime is 209050463. The next prime is 209050469. The reversal of 209050464 is 464050902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209050463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88207 + ... + 90545.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^209050464 is an apocalyptic number.

209050464 is a gapful number since it is divisible by the number (24) 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 209050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

209050464 is an abundant number, since it is smaller than the sum of its proper divisors (463184736).

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

209050464 is a wasteful number, since it uses less digits than its factorization.

209050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 209050464 is about 14458.5775233942. The cubic root of 209050464 is about 593.4949737054.

The spelling of 209050464 in words is "two hundred nine million, fifty thousand, four hundred sixty-four".