208443648 has 216 divisors, whose sum is σ = 671086080. Its totient is φ = 57200640.

The previous prime is 208443593. The next prime is 208443671. The reversal of 208443648 is 846344802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091233 + ... + 1091423.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^208443648 is an apocalyptic number.

208443648 is a gapful number since it is divisible by the number (28) 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 208443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

208443648 is an abundant number, since it is smaller than the sum of its proper divisors (462642432).

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

208443648 is a wasteful number, since it uses less digits than its factorization.

208443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 208443648 is about 14437.5776361549. The cubic root of 208443648 is about 592.9201662853.

The spelling of 208443648 in words is "two hundred eight million, four hundred forty-three thousand, six hundred forty-eight".