208488 has 64 divisors (see below), whose sum is σ = 639360. Its totient is φ = 55296.

The previous prime is 208469. The next prime is 208489. The reversal of 208488 is 884802.

208488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208488² = 86934492288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208489) by changing a digit.

208488 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 15 ways as a sum of consecutive naturals, for example, 2820 + ... + 2892.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2²⁰⁸⁴⁸⁸ is an apocalyptic number.

208488 is a gapful number since it is divisible by the number (28) 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 208488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319680).

208488 is an abundant number, since it is smaller than the sum of its proper divisors (430872).

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

208488 is a wasteful number, since it uses less digits than its factorization.

208488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 208488 is about 456.6048619978. The cubic root of 208488 is about 59.2962216548.

It can be divided in two parts, 208 and 488, that added together give a palindrome (696).

The spelling of 208488 in words is "two hundred eight thousand, four hundred eighty-eight".