208681400 has 48 divisors (see below), whose sum is σ = 487234440. Its totient is φ = 83120000.

The previous prime is 208681397. The next prime is 208681441. The reversal of 208681400 is 4186802.

It is a congruent number.

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, 48122 + ... + 52278.

Almost surely, 2^208681400 is an apocalyptic number.

208681400 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 208681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243617220).

208681400 is an abundant number, since it is smaller than the sum of its proper divisors (278553040).

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

208681400 is a wasteful number, since it uses less digits than its factorization.

208681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 208681400 is about 14445.8090808373. The cubic root of 208681400 is about 593.1455099923.

The spelling of 208681400 in words is "two hundred eight million, six hundred eighty-one thousand, four hundred".