268796448 has 96 divisors (see below), whose sum is σ = 797428800. Its totient is φ = 88063488.

The previous prime is 268796399. The next prime is 268796467. The reversal of 268796448 is 844697862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 268796394 and 268796403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48340 + ... + 53612.

It is an arithmetic number, because the mean of its divisors is an integer number (8306550).

Almost surely, 2^268796448 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 268796448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398714400).

268796448 is an abundant number, since it is smaller than the sum of its proper divisors (528632352).

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

268796448 is a wasteful number, since it uses less digits than its factorization.

268796448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5337 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 268796448 is about 16395.0129002694. The cubic root of 268796448 is about 645.3686156897.

The spelling of 268796448 in words is "two hundred sixty-eight million, seven hundred ninety-six thousand, four hundred forty-eight".