812205456 has 80 divisors (see below), whose sum is σ = 2190574080. Its totient is φ = 259015680.

The previous prime is 812205397. The next prime is 812205461. The reversal of 812205456 is 654502218.

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 15 ways as a sum of consecutive naturals, for example, 129366 + ... + 135498.

It is an arithmetic number, because the mean of its divisors is an integer number (27382176).

Almost surely, 2^812205456 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 812205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095287040).

812205456 is an abundant number, since it is smaller than the sum of its proper divisors (1378368624).

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

812205456 is a wasteful number, since it uses less digits than its factorization.

812205456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 812205456 is about 28499.2185156014. The cubic root of 812205456 is about 933.0150177539.

The spelling of 812205456 in words is "eight hundred twelve million, two hundred five thousand, four hundred fifty-six".