812741472 has 192 divisors, whose sum is σ = 2479680000. Its totient is φ = 258660864.

The previous prime is 812741471. The next prime is 812741497. The reversal of 812741472 is 274147218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812741471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084029 + ... + 4084227.

It is an arithmetic number, because the mean of its divisors is an integer number (12915000).

Almost surely, 2^812741472 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 812741472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840000).

812741472 is an abundant number, since it is smaller than the sum of its proper divisors (1666938528).

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

812741472 is a wasteful number, since it uses less digits than its factorization.

812741472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 812741472 is about 28508.6210118974. The cubic root of 812741472 is about 933.2202207593.

The spelling of 812741472 in words is "eight hundred twelve million, seven hundred forty-one thousand, four hundred seventy-two".