208378820 has 48 divisors (see below), whose sum is σ = 484015728. Its totient is φ = 74856960.

The previous prime is 208378801. The next prime is 208378829. The reversal of 208378820 is 28873802.

It can be written as a sum of positive squares in 8 ways, for example, as 3717184 + 204661636 = 1928^2 + 14306^2 .

It is not an unprimeable number, because it can be changed into a prime (208378829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211 + ... + 20450.

It is an arithmetic number, because the mean of its divisors is an integer number (10083661).

Almost surely, 2^208378820 is an apocalyptic number.

208378820 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 208378820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242007864).

208378820 is an abundant number, since it is smaller than the sum of its proper divisors (275636908).

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

208378820 is a wasteful number, since it uses less digits than its factorization.

208378820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21720 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 208378820 is about 14435.3323480965. The cubic root of 208378820 is about 592.8586919341.

The spelling of 208378820 in words is "two hundred eight million, three hundred seventy-eight thousand, eight hundred twenty".