812418848 has 48 divisors (see below), whose sum is σ = 1697938200. Its totient is φ = 381321216.

The previous prime is 812418839. The next prime is 812418869. The reversal of 812418848 is 848814218.

It can be written as a sum of positive squares in 4 ways, for example, as 375274384 + 437144464 = 19372^2 + 20908^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 812418799 and 812418808.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 233828 + ... + 237276.

Almost surely, 2^812418848 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 812418848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848969100).

812418848 is an abundant number, since it is smaller than the sum of its proper divisors (885519352).

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

812418848 is a wasteful number, since it uses less digits than its factorization.

812418848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3901 counting only the distinct ones).

The product of its digits is 131072, while the sum is 44.

The square root of 812418848 is about 28502.9620916844. The cubic root of 812418848 is about 933.0967214268.

The spelling of 812418848 in words is "eight hundred twelve million, four hundred eighteen thousand, eight hundred forty-eight".