809115048 has 256 divisors, whose sum is σ = 2676480000. Its totient is φ = 226328256.

The previous prime is 809115037. The next prime is 809115059. The reversal of 809115048 is 840511908.

It is an interprime number because it is at equal distance from previous prime (809115037) and next prime (809115059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 4963815 + ... + 4963977.

It is an arithmetic number, because the mean of its divisors is an integer number (10455000).

Almost surely, 2^809115048 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 809115048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338240000).

809115048 is an abundant number, since it is smaller than the sum of its proper divisors (1867364952).

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

809115048 is a wasteful number, since it uses less digits than its factorization.

809115048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 809115048 is about 28444.9476708958. The cubic root of 809115048 is about 931.8301525729.

The spelling of 809115048 in words is "eight hundred nine million, one hundred fifteen thousand, forty-eight".