812465472 has 336 divisors, whose sum is σ = 2751734400. Its totient is φ = 211341312.

The previous prime is 812465447. The next prime is 812465473. The reversal of 812465472 is 274564218.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 812465472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812465473) 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 47 ways as a sum of consecutive naturals, for example, 11129628 + ... + 11129700.

Almost surely, 2^812465472 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 812465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375867200).

812465472 is an abundant number, since it is smaller than the sum of its proper divisors (1939268928).

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

812465472 is a wasteful number, since it uses less digits than its factorization.

812465472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 812465472 is about 28503.7799598580. The cubic root of 812465472 is about 933.1145709509.

The spelling of 812465472 in words is "eight hundred twelve million, four hundred sixty-five thousand, four hundred seventy-two".