268435460 has 48 divisors (see below), whose sum is σ = 578367216. Its totient is φ = 104612352.

The previous prime is 268435459. The next prime is 268435463. The reversal of 268435460 is 64534862.

It can be written as a sum of positive squares in 8 ways, for example, as 4 + 268435456 = 2^2 + 16384^2 .

It is not an unprimeable number, because it can be changed into a prime (268435463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165614 + ... + 167226.

It is an arithmetic number, because the mean of its divisors is an integer number (12049317).

Almost surely, 2^268435460 is an apocalyptic number.

268435460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268435460 is an abundant number, since it is smaller than the sum of its proper divisors (309931756).

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

268435460 is a wasteful number, since it uses less digits than its factorization.

268435460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 268435460 is about 16384.0001220703. Note that the first 3 decimals coincide. The cubic root of 268435460 is about 645.0795807503.

The spelling of 268435460 in words is "two hundred sixty-eight million, four hundred thirty-five thousand, four hundred sixty".