208123400 has 48 divisors (see below), whose sum is σ = 488222100. Its totient is φ = 82503680.

The previous prime is 208123387. The next prime is 208123441. The reversal of 208123400 is 4321802.

It can be written as a sum of positive squares in 6 ways, for example, as 3232804 + 204890596 = 1798^2 + 14314^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17996 + ... + 27204.

Almost surely, 2^208123400 is an apocalyptic number.

208123400 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 208123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244111050).

208123400 is an abundant number, since it is smaller than the sum of its proper divisors (280098700).

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

208123400 is a wasteful number, since it uses less digits than its factorization.

208123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 208123400 is about 14426.4825927875. The cubic root of 208123400 is about 592.6163610355.

The spelling of 208123400 in words is "two hundred eight million, one hundred twenty-three thousand, four hundred".