208738530 has 288 divisors, whose sum is σ = 743940288. Its totient is φ = 39916800.

The previous prime is 208738507. The next prime is 208738573. The reversal of 208738530 is 35837802.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 630465 + ... + 630795.

It is an arithmetic number, because the mean of its divisors is an integer number (2583126).

Almost surely, 2^208738530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208738530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371970144).

208738530 is an abundant number, since it is smaller than the sum of its proper divisors (535201758).

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

208738530 is a wasteful number, since it uses less digits than its factorization.

208738530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 208738530 is about 14447.7863356294. The cubic root of 208738530 is about 593.1996328660.

It can be divided in two parts, 20873 and 8530, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 208738530 in words is "two hundred eight million, seven hundred thirty-eight thousand, five hundred thirty".