268874496 has 162 divisors, whose sum is σ = 853997508. Its totient is φ = 80686080.

The previous prime is 268874479. The next prime is 268874497. The reversal of 268874496 is 694478862.

268874496 is a `hidden beast` number, since 2 + 6 + 88 + 74 + 496 = 666.

It is not an unprimeable number, because it can be changed into a prime (268874497) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2610381 + ... + 2610483.

Almost surely, 2^268874496 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 268874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426998754).

268874496 is an abundant number, since it is smaller than the sum of its proper divisors (585123012).

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

268874496 is a wasteful number, since it uses less digits than its factorization.

268874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 119 counting only the distinct ones).

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

The square root of 268874496 is about 16397.3929635171. The cubic root of 268874496 is about 645.4310729329.

The spelling of 268874496 in words is "two hundred sixty-eight million, eight hundred seventy-four thousand, four hundred ninety-six".