208850000 has 60 divisors (see below), whose sum is σ = 505897308. Its totient is φ = 83520000.

The previous prime is 208849997. The next prime is 208850003. The reversal of 208850000 is 58802.

It is an interprime number because it is at equal distance from previous prime (208849997) and next prime (208850003).

It can be written as a sum of positive squares in 6 ways, for example, as 125529616 + 83320384 = 11204^2 + 9128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208850003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47912 + ... + 52088.

Almost surely, 2^208850000 is an apocalyptic number.

208850000 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 208850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252948654).

208850000 is an abundant number, since it is smaller than the sum of its proper divisors (297047308).

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

208850000 is an frugal number, since it uses more digits than its factorization.

208850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 208850000 is about 14451.6435051519. The cubic root of 208850000 is about 593.3052070439.

The spelling of 208850000 in words is "two hundred eight million, eight hundred fifty thousand".