463712256 has 208 divisors, whose sum is σ = 1572672000. Its totient is φ = 132268032.

The previous prime is 463712251. The next prime is 463712261. The reversal of 463712256 is 652217364.

463712256 is a `hidden beast` number, since 4 + 637 + 12 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (463712251) and next prime (463712261).

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

It is a self number, because there is not a number n which added to its sum of digits gives 463712256.

It is not an unprimeable number, because it can be changed into a prime (463712251) by changing a digit.

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, 773845 + ... + 774443.

Almost surely, 2^463712256 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 463712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786336000).

463712256 is an abundant number, since it is smaller than the sum of its proper divisors (1108959744).

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

463712256 is an equidigital number, since it uses as much as digits as its factorization.

463712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 611 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 463712256 is about 21533.9791028040. The cubic root of 463712256 is about 774.0152632048.

The spelling of 463712256 in words is "four hundred sixty-three million, seven hundred twelve thousand, two hundred fifty-six".