208040448 has 160 divisors (see below), whose sum is σ = 691384320. Its totient is φ = 54005760.

The previous prime is 208040429. The next prime is 208040449. The reversal of 208040448 is 844040802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208040449) 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, 117393 + ... + 119151.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^208040448 is an apocalyptic number.

208040448 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 208040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

208040448 is an abundant number, since it is smaller than the sum of its proper divisors (483343872).

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

208040448 is a wasteful number, since it uses less digits than its factorization.

208040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 208040448 is about 14423.6073157862. The cubic root of 208040448 is about 592.5376172951.

The spelling of 208040448 in words is "two hundred eight million, forty thousand, four hundred forty-eight".