809453568 has 384 divisors, whose sum is σ = 2830464000. Its totient is φ = 199557120.

The previous prime is 809453537. The next prime is 809453621. The reversal of 809453568 is 865354908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13719523 + ... + 13719581.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^809453568 is an apocalyptic number.

809453568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232000).

809453568 is an abundant number, since it is smaller than the sum of its proper divisors (2021010432).

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

809453568 is a wasteful number, since it uses less digits than its factorization.

809453568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 809453568 is about 28450.8974902375. The cubic root of 809453568 is about 931.9600884258.

The spelling of 809453568 in words is "eight hundred nine million, four hundred fifty-three thousand, five hundred sixty-eight".