209066240 has 72 divisors (see below), whose sum is σ = 503645688. Its totient is φ = 83148800.

The previous prime is 209066239. The next prime is 209066279. The reversal of 209066240 is 42660902.

It can be written as a sum of positive squares in 4 ways, for example, as 26708224 + 182358016 = 5168^2 + 13504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297890 + ... + 298590.

It is an arithmetic number, because the mean of its divisors is an integer number (6995079).

Almost surely, 2^209066240 is an apocalyptic number.

209066240 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 209066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251822844).

209066240 is an abundant number, since it is smaller than the sum of its proper divisors (294579448).

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

209066240 is an equidigital number, since it uses as much as digits as its factorization.

209066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 209066240 is about 14459.1230716112. The cubic root of 209066240 is about 593.5099027023.

The spelling of 209066240 in words is "two hundred nine million, sixty-six thousand, two hundred forty".