209048000 has 112 divisors (see below), whose sum is σ = 591824064. Its totient is φ = 71654400.

The previous prime is 209047999. The next prime is 209048003. The reversal of 209048000 is 840902.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209048003) 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 15 ways as a sum of consecutive naturals, for example, 54134 + ... + 57866.

Almost surely, 2^209048000 is an apocalyptic number.

209048000 is a gapful number since it is divisible by the number (20) 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 209048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295912032).

209048000 is an abundant number, since it is smaller than the sum of its proper divisors (382776064).

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

209048000 is an equidigital number, since it uses as much as digits as its factorization.

209048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 209048000 is about 14458.4923142076. The cubic root of 209048000 is about 593.4926419281.

Adding to 209048000 its reverse (840902), we get a palindrome (209888902).

The spelling of 209048000 in words is "two hundred nine million, forty-eight thousand".