268368464 has 160 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 98537472.

The previous prime is 268368389. The next prime is 268368467. The reversal of 268368464 is 464863862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268368467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2462042 + ... + 2462150.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^268368464 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 268368464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728000).

268368464 is an abundant number, since it is smaller than the sum of its proper divisors (419087536).

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

268368464 is a wasteful number, since it uses less digits than its factorization.

268368464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 47.

The square root of 268368464 is about 16381.9554388357. The cubic root of 268368464 is about 645.0259100623.

The spelling of 268368464 in words is "two hundred sixty-eight million, three hundred sixty-eight thousand, four hundred sixty-four".