209048320 has 144 divisors (see below), whose sum is σ = 571747680. Its totient is φ = 72548352.

The previous prime is 209048293. The next prime is 209048321. The reversal of 209048320 is 23840902.

It is not an unprimeable number, because it can be changed into a prime (209048321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282511 + ... + 283249.

It is an arithmetic number, because the mean of its divisors is an integer number (3970470).

Almost surely, 2^209048320 is an apocalyptic number.

209048320 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 209048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285873840).

209048320 is an abundant number, since it is smaller than the sum of its proper divisors (362699360).

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

209048320 is a wasteful number, since it uses less digits than its factorization.

209048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 209048320 is about 14458.5033803641. The cubic root of 209048320 is about 593.4929447574.

The spelling of 209048320 in words is "two hundred nine million, forty-eight thousand, three hundred twenty".