209380900 has 27 divisors (see below), whose sum is σ = 454670769. Its totient is φ = 83694480.

The previous prime is 209380877. The next prime is 209380903. The reversal of 209380900 is 9083902.

It is a happy number.

The square root of 209380900 is 14470.

It is a perfect power (a square), and thus also a powerful number.

209380900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 75377124 + 134003776 = 8682^2 + 11576^2 .

It is a super-2 number, since 2×209380900² = 87680722569620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209380903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143977 + ... + 145423.

Almost surely, 2^209380900 is an apocalyptic number.

209380900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

209380900 is the 14470-th square number.

It is an amenable number.

209380900 is an abundant number, since it is smaller than the sum of its proper divisors (245289869).

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

209380900 is an equidigital number, since it uses as much as digits as its factorization.

209380900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The cubic root of 209380900 is about 593.8075120653.

The spelling of 209380900 in words is "two hundred nine million, three hundred eighty thousand, nine hundred".