268458752 has 72 divisors (see below), whose sum is σ = 570889200. Its totient is φ = 125632512.

The previous prime is 268458703. The next prime is 268458767. The reversal of 268458752 is 257854862.

It is a junction number, because it is equal to n+sod(n) for n = 268458697 and 268458706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471524 + ... + 472092.

Almost surely, 2^268458752 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 268458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285444600).

268458752 is an abundant number, since it is smaller than the sum of its proper divisors (302430448).

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

268458752 is an equidigital number, since it uses as much as digits as its factorization.

268458752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 687 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 47.

The square root of 268458752 is about 16384.7109220761. The cubic root of 268458752 is about 645.0982379464.

The spelling of 268458752 in words is "two hundred sixty-eight million, four hundred fifty-eight thousand, seven hundred fifty-two".