209928960 has 108 divisors (see below), whose sum is σ = 726372192. Its totient is φ = 55977984.

The previous prime is 209928959. The next prime is 209928977. The reversal of 209928960 is 69829902.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2409 + ... + 20631.

Almost surely, 2^209928960 is an apocalyptic number.

209928960 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 209928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363186096).

209928960 is an abundant number, since it is smaller than the sum of its proper divisors (516443232).

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

209928960 is a wasteful number, since it uses less digits than its factorization.

209928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250 (or 18233 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 209928960 is about 14488.9254259935. The cubic root of 209928960 is about 594.3251629209.

The spelling of 209928960 in words is "two hundred nine million, nine hundred twenty-eight thousand, nine hundred sixty".