268024448 has 64 divisors (see below), whose sum is σ = 580818600. Its totient is φ = 122683392.

The previous prime is 268024447. The next prime is 268024459. The reversal of 268024448 is 844420862.

It can be written as a sum of positive squares in 4 ways, for example, as 266603584 + 1420864 = 16328^2 + 1192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (268024441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78848 + ... + 82176.

Almost surely, 2^268024448 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 268024448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290409300).

268024448 is an abundant number, since it is smaller than the sum of its proper divisors (312794152).

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

268024448 is a wasteful number, since it uses less digits than its factorization.

268024448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 268024448 is about 16371.4522263604. The cubic root of 268024448 is about 644.7501770722.

It can be divided in two parts, 2 and 68024448, that multiplied together give a 4-th power (136048896 = 108⁴).

The spelling of 268024448 in words is "two hundred sixty-eight million, twenty-four thousand, four hundred forty-eight".