208855200 has 144 divisors (see below), whose sum is σ = 719953920. Its totient is φ = 52408320.

The previous prime is 208855123. The next prime is 208855219. The reversal of 208855200 is 2558802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38241 + ... + 43359.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^208855200 is an apocalyptic number.

208855200 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 208855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

208855200 is an abundant number, since it is smaller than the sum of its proper divisors (511098720).

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

208855200 is a wasteful number, since it uses less digits than its factorization.

208855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 208855200 is about 14451.8234143654. The cubic root of 208855200 is about 593.3101310906.

The spelling of 208855200 in words is "two hundred eight million, eight hundred fifty-five thousand, two hundred".