809458672 has 160 divisors (see below), whose sum is σ = 1976659200. Its totient is φ = 316108800.

The previous prime is 809458669. The next prime is 809458673. The reversal of 809458672 is 276854908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809458673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648347 + ... + 1648837.

It is an arithmetic number, because the mean of its divisors is an integer number (12354120).

Almost surely, 2^809458672 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 809458672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988329600).

809458672 is an abundant number, since it is smaller than the sum of its proper divisors (1167200528).

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

809458672 is a wasteful number, since it uses less digits than its factorization.

809458672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 809458672 is about 28450.9871884966. The cubic root of 809458672 is about 931.9620472428.

It can be divided in two parts, 8094 and 58672, that added together give a palindrome (66766).

The spelling of 809458672 in words is "eight hundred nine million, four hundred fifty-eight thousand, six hundred seventy-two".