401412413 has 2 divisors, whose sum is σ = 401412414. Its totient is φ = 401412412.

The previous prime is 401412379. The next prime is 401412433. The reversal of 401412413 is 314214104.

It is an a-pointer prime, because the next prime (401412433) can be obtained adding 401412413 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291623929 + 109788484 = 17077^2 + 10478^2 .

It is a cyclic number.

It is not a de Polignac number, because 401412413 - 2⁸ = 401412157 is a prime.

It is a super-2 number, since 2×401412413² = 322263850620965138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401412433) 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, 200706206 + 200706207.

It is an arithmetic number, because the mean of its divisors is an integer number (200706207).

Almost surely, 2^401412413 is an apocalyptic number.

It is an amenable number.

401412413 is a deficient number, since it is larger than the sum of its proper divisors (1).

401412413 is an equidigital number, since it uses as much as digits as its factorization.

401412413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 401412413 is about 20035.2792094345. The cubic root of 401412413 is about 737.6725099847.

Adding to 401412413 its reverse (314214104), we get a palindrome (715626517).

The spelling of 401412413 in words is "four hundred one million, four hundred twelve thousand, four hundred thirteen".