809459352 has 256 divisors, whose sum is σ = 2651443200. Its totient is φ = 226437120.

The previous prime is 809459311. The next prime is 809459363. The reversal of 809459352 is 253954908.

809459352 is a `hidden beast` number, since 8 + 0 + 9 + 4 + 593 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 809459298 and 809459307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479543 + ... + 1480089.

It is an arithmetic number, because the mean of its divisors is an integer number (10357200).

Almost surely, 2^809459352 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 809459352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325721600).

809459352 is an abundant number, since it is smaller than the sum of its proper divisors (1841983848).

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

809459352 is a wasteful number, since it uses less digits than its factorization.

809459352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

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

The square root of 809459352 is about 28450.9991388703. Note that the first 3 decimals coincide. The cubic root of 809459352 is about 931.9623082131.

The spelling of 809459352 in words is "eight hundred nine million, four hundred fifty-nine thousand, three hundred fifty-two".