208482820 has 96 divisors (see below), whose sum is σ = 567302400. Its totient is φ = 62498304.

The previous prime is 208482809. The next prime is 208482829. The reversal of 208482820 is 28284802.

It is not an unprimeable number, because it can be changed into a prime (208482829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31566 + ... + 37594.

It is an arithmetic number, because the mean of its divisors is an integer number (5909400).

Almost surely, 2^208482820 is an apocalyptic number.

208482820 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 208482820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283651200).

208482820 is an abundant number, since it is smaller than the sum of its proper divisors (358819580).

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

208482820 is a wasteful number, since it uses less digits than its factorization.

208482820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 208482820 is about 14438.9341711914. The cubic root of 208482820 is about 592.9573056820.

The spelling of 208482820 in words is "two hundred eight million, four hundred eighty-two thousand, eight hundred twenty".