268406784 has 130 divisors (see below), whose sum is σ = 802799910. Its totient is φ = 89358336.

The previous prime is 268406777. The next prime is 268406797. The reversal of 268406784 is 487604862.

268406784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 260112384 + 8294400 = 16128^2 + 2880^2 .

It is a nialpdrome in base 4 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331372 + ... + 332180.

Almost surely, 2^268406784 is an apocalyptic number.

268406784 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 268406784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401399955).

268406784 is an abundant number, since it is smaller than the sum of its proper divisors (534393126).

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

268406784 is an frugal number, since it uses more digits than its factorization.

268406784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 268406784 is about 16383.1249766337. The cubic root of 268406784 is about 645.0566094176.

The spelling of 268406784 in words is "two hundred sixty-eight million, four hundred six thousand, seven hundred eighty-four".