208452 has 24 divisors (see below), whose sum is σ = 504000. Its totient is φ = 66976.

The previous prime is 208441. The next prime is 208457. The reversal of 208452 is 254802.

It is not an unprimeable number, because it can be changed into a prime (208457) by changing a digit.

208452 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2²⁰⁸⁴⁵² 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 208452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

208452 is an abundant number, since it is smaller than the sum of its proper divisors (295548).

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

208452 is a wasteful number, since it uses less digits than its factorization.

208452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 208452 is about 456.5654389022. The cubic root of 208452 is about 59.2928085297.

The spelling of 208452 in words is "two hundred eight thousand, four hundred fifty-two".