268040448 has 288 divisors, whose sum is σ = 904265600. Its totient is φ = 77635584.

The previous prime is 268040447. The next prime is 268040453. The reversal of 268040448 is 844040862.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268040447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707186 + ... + 1707342.

Almost surely, 2^268040448 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 268040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452132800).

268040448 is an abundant number, since it is smaller than the sum of its proper divisors (636225152).

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

268040448 is a wasteful number, since it uses less digits than its factorization.

268040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 268040448 is about 16371.9408745573. The cubic root of 268040448 is about 644.7630064958.

The spelling of 268040448 in words is "two hundred sixty-eight million, forty thousand, four hundred forty-eight".