268455761 has 12 divisors (see below), whose sum is σ = 314020980. Its totient is φ = 228826080.

The previous prime is 268455749. The next prime is 268455763. The reversal of 268455761 is 167554862.

It can be written as a sum of positive squares in 2 ways, for example, as 91565761 + 176890000 = 9569^2 + 13300^2 .

It is not a de Polignac number, because 268455761 - 2²² = 264261457 is a prime.

It is a super-2 number, since 2×268455761² = 144136991228178242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268455763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6266 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (26168415).

Almost surely, 2^268455761 is an apocalyptic number.

It is an amenable number.

268455761 is a deficient number, since it is larger than the sum of its proper divisors (45565219).

268455761 is a wasteful number, since it uses less digits than its factorization.

268455761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30464 (or 30457 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 268455761 is about 16384.6196477062. The cubic root of 268455761 is about 645.0958421767.

The spelling of 268455761 in words is "two hundred sixty-eight million, four hundred fifty-five thousand, seven hundred sixty-one".