809466048 has 336 divisors, whose sum is σ = 2627229696. Its totient is φ = 246343680.

The previous prime is 809466043. The next prime is 809466107. The reversal of 809466048 is 840664908.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 809465994 and 809466012.

It is not an unprimeable number, because it can be changed into a prime (809466043) 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, 11088540 + ... + 11088612.

It is an arithmetic number, because the mean of its divisors is an integer number (7819136).

Almost surely, 2^809466048 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 809466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313614848).

809466048 is an abundant number, since it is smaller than the sum of its proper divisors (1817763648).

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

809466048 is a wasteful number, since it uses less digits than its factorization.

809466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 809466048 is about 28451.1168146349. The cubic root of 809466048 is about 931.9648779952.

The spelling of 809466048 in words is "eight hundred nine million, four hundred sixty-six thousand, forty-eight".