422400401 has 2 divisors, whose sum is σ = 422400402. Its totient is φ = 422400400.

The previous prime is 422400373. The next prime is 422400403. The reversal of 422400401 is 104004224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218596225 + 203804176 = 14785^2 + 14276^2 .

It is a cyclic number.

It is not a de Polignac number, because 422400401 - 2²⁶ = 355291537 is a prime.

Together with 422400403, it forms a pair of twin primes.

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 422400401.

It is not a weakly prime, because it can be changed into another prime (422400403) 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, 211200200 + 211200201.

It is an arithmetic number, because the mean of its divisors is an integer number (211200201).

Almost surely, 2^422400401 is an apocalyptic number.

It is an amenable number.

422400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

422400401 is an equidigital number, since it uses as much as digits as its factorization.

422400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 422400401 is about 20552.3818814268. The cubic root of 422400401 is about 750.3112195794.

Adding to 422400401 its reverse (104004224), we get a palindrome (526404625).

The spelling of 422400401 in words is "four hundred twenty-two million, four hundred thousand, four hundred one".