806485248 has 360 divisors, whose sum is σ = 2671099200. Its totient is φ = 240869376.

The previous prime is 806485241. The next prime is 806485249. The reversal of 806485248 is 842584608.

806485248 is a `hidden beast` number, since 80 + 6 + 48 + 524 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806485241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9061588 + ... + 9061676.

It is an arithmetic number, because the mean of its divisors is an integer number (7419720).

Almost surely, 2^806485248 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 806485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335549600).

806485248 is an abundant number, since it is smaller than the sum of its proper divisors (1864613952).

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

806485248 is a wasteful number, since it uses less digits than its factorization.

806485248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 806485248 is about 28398.6839131675. The cubic root of 806485248 is about 930.8195065752.

The spelling of 806485248 in words is "eight hundred six million, four hundred eighty-five thousand, two hundred forty-eight".