401822417 has 2 divisors, whose sum is σ = 401822418. Its totient is φ = 401822416.

The previous prime is 401822389. The next prime is 401822419. The reversal of 401822417 is 714228104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267355201 + 134467216 = 16351^2 + 11596^2 .

It is a cyclic number.

It is not a de Polignac number, because 401822417 - 2¹⁰ = 401821393 is a prime.

It is a super-2 number, since 2×401822417² = 322922509607443778, which contains 22 as substring.

Together with 401822419, 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 401822417.

It is not a weakly prime, because it can be changed into another prime (401822419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200911208 + 200911209.

It is an arithmetic number, because the mean of its divisors is an integer number (200911209).

Almost surely, 2^401822417 is an apocalyptic number.

It is an amenable number.

401822417 is a deficient number, since it is larger than the sum of its proper divisors (1).

401822417 is an equidigital number, since it uses as much as digits as its factorization.

401822417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 401822417 is about 20045.5086490715. The cubic root of 401822417 is about 737.9235782579.

The spelling of 401822417 in words is "four hundred one million, eight hundred twenty-two thousand, four hundred seventeen".