809413248 has 128 divisors (see below), whose sum is σ = 2601832320. Its totient is φ = 217645056.

The previous prime is 809413207. The next prime is 809413249. The reversal of 809413248 is 842314908.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (809413249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36840 + ... + 54552.

It is an arithmetic number, because the mean of its divisors is an integer number (20326815).

Almost surely, 2^809413248 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 809413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300916160).

809413248 is an abundant number, since it is smaller than the sum of its proper divisors (1792419072).

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

809413248 is a wasteful number, since it uses less digits than its factorization.

809413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17754 (or 17742 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 809413248 is about 28450.1888921673. The cubic root of 809413248 is about 931.9446140958.

The spelling of 809413248 in words is "eight hundred nine million, four hundred thirteen thousand, two hundred forty-eight".