426401 has 2 divisors, whose sum is σ = 426402. Its totient is φ = 426400.

The previous prime is 426389. The next prime is 426407. The reversal of 426401 is 104624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 67600 = 599^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 426401 - 2¹⁰ = 425377 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 426401.

It is not a weakly prime, because it can be changed into another prime (426407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213200 + 213201.

It is an arithmetic number, because the mean of its divisors is an integer number (213201).

2⁴²⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

426401 is a deficient number, since it is larger than the sum of its proper divisors (1).

426401 is an equidigital number, since it uses as much as digits as its factorization.

426401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 426401 is about 652.9938743970. The cubic root of 426401 is about 75.2672539473.

The spelling of 426401 in words is "four hundred twenty-six thousand, four hundred one".