208498920 has 192 divisors, whose sum is σ = 741182400. Its totient is φ = 46771200.

The previous prime is 208498919. The next prime is 208498921. The reversal of 208498920 is 29894802.

208498920 is digitally balanced in base 2, 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 (208498919) and next prime (208498921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (208498921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346620 + ... + 347220.

It is an arithmetic number, because the mean of its divisors is an integer number (3860325).

Almost surely, 2^208498920 is an apocalyptic number.

208498920 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 208498920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370591200).

208498920 is an abundant number, since it is smaller than the sum of its proper divisors (532683480).

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

208498920 is a wasteful number, since it uses less digits than its factorization.

208498920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 208498920 is about 14439.4916808037. The cubic root of 208498920 is about 592.9725689171.

The spelling of 208498920 in words is "two hundred eight million, four hundred ninety-eight thousand, nine hundred twenty".