813416409 has 24 divisors (see below), whose sum is σ = 1306136832. Its totient is φ = 484414560.

The previous prime is 813416377. The next prime is 813416437. The reversal of 813416409 is 904614318.

813416409 is a `hidden beast` number, since 8 + 1 + 3 + 4 + 1 + 640 + 9 = 666.

It is not a de Polignac number, because 813416409 - 2⁵ = 813416377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (813416209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108507 + ... + 115760.

It is an arithmetic number, because the mean of its divisors is an integer number (54422368).

Almost surely, 2^813416409 is an apocalyptic number.

It is an amenable number.

813416409 is a deficient number, since it is larger than the sum of its proper divisors (492720423).

813416409 is a wasteful number, since it uses less digits than its factorization.

813416409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224317 (or 224314 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 813416409 is about 28520.4559746158. The cubic root of 813416409 is about 933.4784786032.

The spelling of 813416409 in words is "eight hundred thirteen million, four hundred sixteen thousand, four hundred nine".