208214400 has 288 divisors, whose sum is σ = 734406120. Its totient is φ = 51814400.

The previous prime is 208214399. The next prime is 208214401. The reversal of 208214400 is 4412802.

It is an interprime number because it is at equal distance from previous prime (208214399) and next prime (208214401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208214401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5078380 + ... + 5078420.

Almost surely, 2^208214400 is an apocalyptic number.

208214400 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 208214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367203060).

208214400 is an abundant number, since it is smaller than the sum of its proper divisors (526191720).

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

208214400 is a wasteful number, since it uses less digits than its factorization.

208214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 208214400 is about 14429.6361700495. The cubic root of 208214400 is about 592.7027204276.

The spelling of 208214400 in words is "two hundred eight million, two hundred fourteen thousand, four hundred".