463264256 has 160 divisors (see below), whose sum is σ = 1165008768. Its totient is φ = 179159040.

The previous prime is 463264253. The next prime is 463264271. The reversal of 463264256 is 652462364.

It is a super-2 number, since 2×463264256² = 429227541774467072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (463264253) 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 15 ways as a sum of consecutive naturals, for example, 2842031 + ... + 2842193.

Almost surely, 2^463264256 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 463264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582504384).

463264256 is an abundant number, since it is smaller than the sum of its proper divisors (701744512).

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

463264256 is a wasteful number, since it uses less digits than its factorization.

463264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 463264256 is about 21523.5744243376. The cubic root of 463264256 is about 773.7659199514.

The spelling of 463264256 in words is "four hundred sixty-three million, two hundred sixty-four thousand, two hundred fifty-six".