809431000 has 96 divisors (see below), whose sum is σ = 2203437600. Its totient is φ = 277502400.

The previous prime is 809430997. The next prime is 809431033. The reversal of 809431000 is 134908.

It is a super-2 number, since 2×809431000² = 1310357087522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40741 + ... + 57259.

It is an arithmetic number, because the mean of its divisors is an integer number (22952475).

Almost surely, 2^809431000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101718800).

809431000 is an abundant number, since it is smaller than the sum of its proper divisors (1394006600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

809431000 is a wasteful number, since it uses less digits than its factorization.

809431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16554 (or 16533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 809431000 is about 28450.5008743256. The cubic root of 809431000 is about 931.9514271628.

Adding to 809431000 its reverse (134908), we get a palindrome (809565908).

The spelling of 809431000 in words is "eight hundred nine million, four hundred thirty-one thousand".