405916897 has 2 divisors, whose sum is σ = 405916898. Its totient is φ = 405916896.

The previous prime is 405916859. The next prime is 405916909. The reversal of 405916897 is 798619504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405780736 + 136161 = 20144^2 + 369^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405916897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405916897.

It is not a weakly prime, because it can be changed into another prime (405916097) 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, 202958448 + 202958449.

It is an arithmetic number, because the mean of its divisors is an integer number (202958449).

Almost surely, 2^405916897 is an apocalyptic number.

It is an amenable number.

405916897 is a deficient number, since it is larger than the sum of its proper divisors (1).

405916897 is an equidigital number, since it uses as much as digits as its factorization.

405916897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 405916897 is about 20147.3794077543. The cubic root of 405916897 is about 740.4215378890.

The spelling of 405916897 in words is "four hundred five million, nine hundred sixteen thousand, eight hundred ninety-seven".