208400 has 30 divisors (see below), whose sum is σ = 501642. Its totient is φ = 83200.

The previous prime is 208393. The next prime is 208409. The reversal of 208400 is 4802.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 204304 = 64^2 + 452^2 .

It is not an unprimeable number, because it can be changed into a prime (208409) by changing a digit.

208400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140 + ... + 660.

2²⁰⁸⁴⁰⁰ is an apocalyptic number.

208400 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 208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250821).

208400 is an abundant number, since it is smaller than the sum of its proper divisors (293242).

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

208400 is a wasteful number, since it uses less digits than its factorization.

208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 208400 is about 456.5084884205. The cubic root of 208400 is about 59.2878777663.

The spelling of 208400 in words is "two hundred eight thousand, four hundred".