809457 has 16 divisors (see below), whose sum is σ = 1240320. Its totient is φ = 464400.

The previous prime is 809453. The next prime is 809461. The reversal of 809457 is 754908.

It is an interprime number because it is at equal distance from previous prime (809453) and next prime (809461).

It is not a de Polignac number, because 809457 - 2² = 809453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809457.

It is not an unprimeable number, because it can be changed into a prime (809453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (77520).

2⁸⁰⁹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

809457 is a deficient number, since it is larger than the sum of its proper divisors (430863).

809457 is a wasteful number, since it uses less digits than its factorization.

809457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 809457 is about 899.6982827593. The cubic root of 809457 is about 93.1961405562.

The spelling of 809457 in words is "eight hundred nine thousand, four hundred fifty-seven".