208813400 has 48 divisors (see below), whose sum is σ = 489373440. Its totient is φ = 82857600.

The previous prime is 208813399. The next prime is 208813411. The reversal of 208813400 is 4318802.

208813400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 208813400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21290 + ... + 29510.

It is an arithmetic number, because the mean of its divisors is an integer number (10195280).

Almost surely, 2^208813400 is an apocalyptic number.

208813400 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 208813400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244686720).

208813400 is an abundant number, since it is smaller than the sum of its proper divisors (280560040).

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

208813400 is a wasteful number, since it uses less digits than its factorization.

208813400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 208813400 is about 14450.3771577077. The cubic root of 208813400 is about 593.2705470181.

The spelling of 208813400 in words is "two hundred eight million, eight hundred thirteen thousand, four hundred".