268468225 has 27 divisors (see below), whose sum is σ = 347853883. Its totient is φ = 205533440.

The previous prime is 268468219. The next prime is 268468229. The reversal of 268468225 is 522864862.

The square root of 268468225 is 16385.

It is a perfect power (a square), and thus also a powerful number.

268468225 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 13 ways, for example, as 268402689 + 65536 = 16383^2 + 256^2 .

It is not a de Polignac number, because 268468225 - 2³ = 268468217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268468229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2375769 + ... + 2375881.

It is a Proth number, since it is equal to 8193 ⋅ 2¹⁵ + 1 and 8193 < 2¹⁵.

Almost surely, 2^268468225 is an apocalyptic number.

268468225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268468225 is the 16385-th square number.

268468225 is the 8193-rd centered octagonal number.

It is an amenable number.

268468225 is a deficient number, since it is larger than the sum of its proper divisors (79385658).

268468225 is an equidigital number, since it uses as much as digits as its factorization.

268468225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The cubic root of 268468225 is about 645.1058256344.

The spelling of 268468225 in words is "two hundred sixty-eight million, four hundred sixty-eight thousand, two hundred twenty-five".