463316256 has 144 divisors (see below), whose sum is σ = 1440863424. Its totient is φ = 140355072.

The previous prime is 463316233. The next prime is 463316291. The reversal of 463316256 is 652613364.

463316256 is a `hidden beast` number, since 4 + 633 + 16 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 463316256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249925 + ... + 251771.

It is an arithmetic number, because the mean of its divisors is an integer number (10005996).

Almost surely, 2^463316256 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 463316256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720431712).

463316256 is an abundant number, since it is smaller than the sum of its proper divisors (977547168).

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

463316256 is a wasteful number, since it uses less digits than its factorization.

463316256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1932 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 463316256 is about 21524.7823682378. The cubic root of 463316256 is about 773.7948698232.

The spelling of 463316256 in words is "four hundred sixty-three million, three hundred sixteen thousand, two hundred fifty-six".