209004849 has 27 divisors (see below), whose sum is σ = 310860459. Its totient is φ = 135317520.

The previous prime is 209004799. The next prime is 209004853. The reversal of 209004849 is 948400902.

It is a happy number.

The square root of 209004849 is 14457.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6796449 + 202208400 = 2607^2 + 14220^2 .

It is not a de Polignac number, because 209004849 - 2⁷ = 209004721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (209004949) 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 26 ways as a sum of consecutive naturals, for example, 2645592 + ... + 2645670.

Almost surely, 2^209004849 is an apocalyptic number.

209004849 is the 14457-th square number.

209004849 is the 7229-th centered octagonal number.

It is an amenable number.

209004849 is a deficient number, since it is larger than the sum of its proper divisors (101855610).

209004849 is an frugal number, since it uses more digits than its factorization.

209004849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 209004849 is about 593.4518035189.

Multiplying 209004849 by its sum of digits (36), we get a square (7524174564 = 86742²).

Multiplying 209004849 by its product of nonzero digits (20736), we get a square (4333924548864 = 2081808²).

The spelling of 209004849 in words is "two hundred nine million, four thousand, eight hundred forty-nine".