812488248 has 384 divisors, whose sum is σ = 2792724480. Its totient is φ = 209848320.

The previous prime is 812488231. The next prime is 812488301. The reversal of 812488248 is 842884218.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11129940 + ... + 11130012.

It is an arithmetic number, because the mean of its divisors is an integer number (7272720).

Almost surely, 2^812488248 is an apocalyptic number.

812488248 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 812488248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396362240).

812488248 is an abundant number, since it is smaller than the sum of its proper divisors (1980236232).

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

812488248 is a wasteful number, since it uses less digits than its factorization.

812488248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 812488248 is about 28504.1794830162. The cubic root of 812488248 is about 933.1232902625.

The spelling of 812488248 in words is "eight hundred twelve million, four hundred eighty-eight thousand, two hundred forty-eight".