209280 has 64 divisors (see below), whose sum is σ = 673200. Its totient is φ = 55296.

The previous prime is 209269. The next prime is 209299. The reversal of 209280 is 82902.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

209280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866 + ... + 1974.

2²⁰⁹²⁸⁰ is an apocalyptic number.

209280 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 209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336600).

209280 is an abundant number, since it is smaller than the sum of its proper divisors (463920).

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

209280 is a wasteful number, since it uses less digits than its factorization.

209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 209280 is about 457.4713105759. The cubic root of 209280 is about 59.3712112079.

The spelling of 209280 in words is "two hundred nine thousand, two hundred eighty".