408407408413 has 2 divisors, whose sum is σ = 408407408414. Its totient is φ = 408407408412.

The previous prime is 408407408393. The next prime is 408407408419. The reversal of 408407408413 is 314804704804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408406630489 + 777924 = 639067^2 + 882^2 .

It is a cyclic number.

It is not a de Polignac number, because 408407408413 - 2²¹ = 408405311261 is a prime.

It is a super-2 number, since 2×408407408413² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408407408413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408407408419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204203704206 + 204203704207.

It is an arithmetic number, because the mean of its divisors is an integer number (204203704207).

Almost surely, 2^408407408413 is an apocalyptic number.

It is an amenable number.

408407408413 is a deficient number, since it is larger than the sum of its proper divisors (1).

408407408413 is an equidigital number, since it uses as much as digits as its factorization.

408407408413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 408407408413 in words is "four hundred eight billion, four hundred seven million, four hundred eight thousand, four hundred thirteen".