268257384 has 72 divisors (see below), whose sum is σ = 750916530. Its totient is φ = 86512320.

The previous prime is 268257323. The next prime is 268257397. The reversal of 268257384 is 483752862.

268257384 is a `hidden beast` number, since 268 + 2 + 5 + 7 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249956100 + 18301284 = 15810^2 + 4278^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67254 + ... + 71130.

Almost surely, 2^268257384 is an apocalyptic number.

268257384 is a gapful number since it is divisible by the number (24) 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 268257384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375458265).

268257384 is an abundant number, since it is smaller than the sum of its proper divisors (482659146).

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

268257384 is a wasteful number, since it uses less digits than its factorization.

268257384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3913 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 268257384 is about 16378.5647722870. The cubic root of 268257384 is about 644.9369038694.

The spelling of 268257384 in words is "two hundred sixty-eight million, two hundred fifty-seven thousand, three hundred eighty-four".