208495000 has 240 divisors, whose sum is σ = 608992560. Its totient is φ = 66528000.

The previous prime is 208494973. The next prime is 208495019. The reversal of 208495000 is 594802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 208495000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5634982 + ... + 5635018.

It is an arithmetic number, because the mean of its divisors is an integer number (2537469).

Almost surely, 2^208495000 is an apocalyptic number.

208495000 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 208495000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304496280).

208495000 is an abundant number, since it is smaller than the sum of its proper divisors (400497560).

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

208495000 is a wasteful number, since it uses less digits than its factorization.

208495000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 208495000 is about 14439.3559413154. The cubic root of 208495000 is about 592.9688527235.

The spelling of 208495000 in words is "two hundred eight million, four hundred ninety-five thousand".