809407 has 2 divisors, whose sum is σ = 809408. Its totient is φ = 809406.

The previous prime is 809401. The next prime is 809423. The reversal of 809407 is 704908.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 809407 - 2³ = 809399 is a prime.

809407 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (809401) 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, 404703 + 404704.

It is an arithmetic number, because the mean of its divisors is an integer number (404704).

2⁸⁰⁹⁴⁰⁷ is an apocalyptic number.

809407 is a deficient number, since it is larger than the sum of its proper divisors (1).

809407 is an equidigital number, since it uses as much as digits as its factorization.

809407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 809407 is about 899.6704952370. The cubic root of 809407 is about 93.1942216143.

It can be divided in two parts, 80940 and 7, that multiplied together give a triangular number (566580 = T₁₀₆₄).

The spelling of 809407 in words is "eight hundred nine thousand, four hundred seven".