809345952 has 96 divisors (see below), whose sum is σ = 2400753600. Its totient is φ = 265192704.

The previous prime is 809345951. The next prime is 809345959. The reversal of 809345952 is 259543908.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 809345898 and 809345907.

It is not an unprimeable number, because it can be changed into a prime (809345951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43038 + ... + 58914.

It is an arithmetic number, because the mean of its divisors is an integer number (25007850).

Almost surely, 2^809345952 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 809345952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200376800).

809345952 is an abundant number, since it is smaller than the sum of its proper divisors (1591407648).

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

809345952 is a wasteful number, since it uses less digits than its factorization.

809345952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15955 (or 15941 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 809345952 is about 28449.0061689332. The cubic root of 809345952 is about 931.9187855577.

It can be divided in two parts, 8093 and 45952, that added together give a palindrome (54045).

The spelling of 809345952 in words is "eight hundred nine million, three hundred forty-five thousand, nine hundred fifty-two".