268304401 has 2 divisors, whose sum is σ = 268304402. Its totient is φ = 268304400.

The previous prime is 268304359. The next prime is 268304431. The reversal of 268304401 is 104403862.

It is a Cunningham number, because it is equal to 16380²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268304400 + 1 = 16380^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 268304401 - 2¹³ = 268296209 is a prime.

It is a Chen prime.

It is equal to p_14624056 and since 268304401 and 14624056 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268304401.

It is not a weakly prime, because it can be changed into another prime (268304431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134152200 + 134152201.

It is an arithmetic number, because the mean of its divisors is an integer number (134152201).

Almost surely, 2^268304401 is an apocalyptic number.

It is an amenable number.

268304401 is a deficient number, since it is larger than the sum of its proper divisors (1).

268304401 is an equidigital number, since it uses as much as digits as its factorization.

268304401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 268304401 is about 16380.0000305250. Note that the first 4 decimals coincide. The cubic root of 268304401 is about 644.9745806540.

The spelling of 268304401 in words is "two hundred sixty-eight million, three hundred four thousand, four hundred one".