208025000 has 96 divisors (see below), whose sum is σ = 499889880. Its totient is φ = 81120000.

The previous prime is 208024969. The next prime is 208025003. The reversal of 208025000 is 520802.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 94517284 + 113507716 = 9722^2 + 10654^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 208025000.

It is not an unprimeable number, because it can be changed into a prime (208025003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324922 + ... + 1325078.

Almost surely, 2^208025000 is an apocalyptic number.

208025000 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 208025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249944940).

208025000 is an abundant number, since it is smaller than the sum of its proper divisors (291864880).

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

208025000 is an equidigital number, since it uses as much as digits as its factorization.

208025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 208025000 is about 14423.0717948709. The cubic root of 208025000 is about 592.5229506798.

Adding to 208025000 its reverse (520802), we get a palindrome (208545802).

The spelling of 208025000 in words is "two hundred eight million, twenty-five thousand".