208406302900 has 18 divisors (see below), whose sum is σ = 452241677510. Its totient is φ = 83362521120.

The previous prime is 208406302849. The next prime is 208406302933. The reversal of 208406302900 is 9203604802.

208406302900 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 3 ways, for example, as 11843533584 + 196562769316 = 108828^2 + 443354^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1042031415 + ... + 1042031614.

Almost surely, 2^208406302900 is an apocalyptic number.

208406302900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208406302900 is an abundant number, since it is smaller than the sum of its proper divisors (243835374610).

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

208406302900 is a wasteful number, since it uses less digits than its factorization.

208406302900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084063043 (or 2084063036 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 208406302900 in words is "two hundred eight billion, four hundred six million, three hundred two thousand, nine hundred".