209938480 has 80 divisors (see below), whose sum is σ = 516824064. Its totient is φ = 79143680.

The previous prime is 209938439. The next prime is 209938489. The reversal of 209938480 is 84839902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (209938489) 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, 129837 + ... + 131443.

Almost surely, 2^209938480 is an apocalyptic number.

209938480 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 209938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258412032).

209938480 is an abundant number, since it is smaller than the sum of its proper divisors (306885584).

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

209938480 is a wasteful number, since it uses less digits than its factorization.

209938480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 209938480 is about 14489.2539490479. The cubic root of 209938480 is about 594.3341467378.

The spelling of 209938480 in words is "two hundred nine million, nine hundred thirty-eight thousand, four hundred eighty".