208495980 has 288 divisors, whose sum is σ = 807206400. Its totient is φ = 43182720.

The previous prime is 208495979. The next prime is 208495981. The reversal of 208495980 is 89594802.

208495980 is digitally balanced in base 3, because in such base 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 (208495979) and next prime (208495981).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (208495981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678987 + ... + 679293.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2^208495980 is an apocalyptic number.

208495980 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 208495980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403603200).

208495980 is an abundant number, since it is smaller than the sum of its proper divisors (598710420).

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

208495980 is a wasteful number, since it uses less digits than its factorization.

208495980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 208495980 is about 14439.3898763071. The cubic root of 208495980 is about 592.9697817763.

The spelling of 208495980 in words is "two hundred eight million, four hundred ninety-five thousand, nine hundred eighty".