208664448 has 64 divisors (see below), whose sum is σ = 555859200. Its totient is φ = 69355008.

The previous prime is 208664419. The next prime is 208664453. The reversal of 208664448 is 844466802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200313 + ... + 201351.

It is an arithmetic number, because the mean of its divisors is an integer number (8685300).

Almost surely, 2^208664448 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 208664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277929600).

208664448 is an abundant number, since it is smaller than the sum of its proper divisors (347194752).

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

208664448 is a wasteful number, since it uses less digits than its factorization.

208664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 208664448 is about 14445.2223243535. Note that the first 3 decimals coincide. The cubic root of 208664448 is about 593.1294483868.

The spelling of 208664448 in words is "two hundred eight million, six hundred sixty-four thousand, four hundred forty-eight".