812009472 has 96 divisors (see below), whose sum is σ = 2181816000. Its totient is φ = 268550144.

The previous prime is 812009447. The next prime is 812009477. The reversal of 812009472 is 274900218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (812009477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915013 + ... + 915899.

It is an arithmetic number, because the mean of its divisors is an integer number (22727250).

Almost surely, 2^812009472 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 812009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090908000).

812009472 is an abundant number, since it is smaller than the sum of its proper divisors (1369806528).

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

812009472 is a wasteful number, since it uses less digits than its factorization.

812009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 812009472 is about 28495.7798980832. The cubic root of 812009472 is about 932.9399666596.

The spelling of 812009472 in words is "eight hundred twelve million, nine thousand, four hundred seventy-two".