809456940 has 144 divisors (see below), whose sum is σ = 2622267648. Its totient is φ = 201624192.

The previous prime is 809456933. The next prime is 809456941. The reversal of 809456940 is 49654908.

It is a happy number.

809456940 is a `hidden beast` number, since 80 + 9 + 4 + 569 + 4 + 0 = 666.

809456940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (809456941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175747 + ... + 180293.

It is an arithmetic number, because the mean of its divisors is an integer number (18210192).

Almost surely, 2^809456940 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 809456940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311133824).

809456940 is an abundant number, since it is smaller than the sum of its proper divisors (1812810708).

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

809456940 is a wasteful number, since it uses less digits than its factorization.

809456940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 809456940 is about 28450.9567501692. The cubic root of 809456940 is about 931.9613825354.

The spelling of 809456940 in words is "eight hundred nine million, four hundred fifty-six thousand, nine hundred forty".