809257419 has 8 divisors (see below), whose sum is σ = 1198899920. Its totient is φ = 539504928.

The previous prime is 809257403. The next prime is 809257433. The reversal of 809257419 is 914752908.

It is not a de Polignac number, because 809257419 - 2⁴ = 809257403 is a prime.

It is a super-2 number, since 2×809257419² = 1309795140413083122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809257459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14986222 + ... + 14986275.

It is an arithmetic number, because the mean of its divisors is an integer number (149862490).

Almost surely, 2^809257419 is an apocalyptic number.

809257419 is a deficient number, since it is larger than the sum of its proper divisors (389642501).

809257419 is a wasteful number, since it uses less digits than its factorization.

809257419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29972506 (or 29972500 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 809257419 is about 28447.4501317781. The cubic root of 809257419 is about 931.8848039728.

The spelling of 809257419 in words is "eight hundred nine million, two hundred fifty-seven thousand, four hundred nineteen".