208352 has 24 divisors (see below), whose sum is σ = 435456. Its totient is φ = 97792.

The previous prime is 208337. The next prime is 208367. The reversal of 208352 is 253802.

208352 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208337) and next prime (208367).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2²⁰⁸³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

208352 is an abundant number, since it is smaller than the sum of its proper divisors (227104).

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

208352 is a wasteful number, since it uses less digits than its factorization.

208352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 208352 is about 456.4559124384. The cubic root of 208352 is about 59.2833255644.

The spelling of 208352 in words is "two hundred eight thousand, three hundred fifty-two".