826466256 has 240 divisors, whose sum is σ = 3036234240. Its totient is φ = 203316480.

The previous prime is 826466243. The next prime is 826466257. The reversal of 826466256 is 652664628.

826466256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826466257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208711 + ... + 212633.

It is an arithmetic number, because the mean of its divisors is an integer number (12650976).

Almost surely, 2^826466256 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 826466256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518117120).

826466256 is an abundant number, since it is smaller than the sum of its proper divisors (2209767984).

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

826466256 is a wasteful number, since it uses less digits than its factorization.

826466256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3965 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 826466256 is about 28748.3261425774. The cubic root of 826466256 is about 938.4440291305. Note that the first 3 decimals are identical.

The spelling of 826466256 in words is "eight hundred twenty-six million, four hundred sixty-six thousand, two hundred fifty-six".