208509980 has 48 divisors (see below), whose sum is σ = 503375040. Its totient is φ = 71067648.

The previous prime is 208509923. The next prime is 208510013. The reversal of 208509980 is 89905802.

It is a happy number.

208509980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19916 + ... + 28524.

It is an arithmetic number, because the mean of its divisors is an integer number (10486980).

Almost surely, 2^208509980 is an apocalyptic number.

208509980 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 208509980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251687520).

208509980 is an abundant number, since it is smaller than the sum of its proper divisors (294865060).

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

208509980 is a wasteful number, since it uses less digits than its factorization.

208509980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 208509980 is about 14439.8746531956. The cubic root of 208509980 is about 592.9830536407.

The spelling of 208509980 in words is "two hundred eight million, five hundred nine thousand, nine hundred eighty".