208480512 has 144 divisors (see below), whose sum is σ = 582785280. Its totient is φ = 66103296.

The previous prime is 208480501. The next prime is 208480513. The reversal of 208480512 is 215084802.

It is a self number, because there is not a number n which added to its sum of digits gives 208480512.

It is not an unprimeable number, because it can be changed into a prime (208480513) 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, 1948363 + ... + 1948469.

It is an arithmetic number, because the mean of its divisors is an integer number (4047120).

Almost surely, 2^208480512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291392640).

208480512 is an abundant number, since it is smaller than the sum of its proper divisors (374304768).

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

208480512 is a wasteful number, since it uses less digits than its factorization.

208480512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 208480512 is about 14438.8542481736. The cubic root of 208480512 is about 592.9551175712.

The spelling of 208480512 in words is "two hundred eight million, four hundred eighty thousand, five hundred twelve".