401210417 has 2 divisors, whose sum is σ = 401210418. Its totient is φ = 401210416.

The previous prime is 401210393. The next prime is 401210419. The reversal of 401210417 is 714012104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398441521 + 2768896 = 19961^2 + 1664^2 .

It is a cyclic number.

It is not a de Polignac number, because 401210417 - 2¹⁶ = 401144881 is a prime.

Together with 401210419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401210419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200605208 + 200605209.

It is an arithmetic number, because the mean of its divisors is an integer number (200605209).

Almost surely, 2^401210417 is an apocalyptic number.

It is an amenable number.

401210417 is a deficient number, since it is larger than the sum of its proper divisors (1).

401210417 is an equidigital number, since it uses as much as digits as its factorization.

401210417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 401210417 is about 20030.2375672382. The cubic root of 401210417 is about 737.5487537242.

The spelling of 401210417 in words is "four hundred one million, two hundred ten thousand, four hundred seventeen".