463684056 has 128 divisors (see below), whose sum is σ = 1346284800. Its totient is φ = 131604480.

The previous prime is 463684051. The next prime is 463684069. The reversal of 463684056 is 650486364.

It is a super-2 number, since 2×463684056² = 430005807577222272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463683999 and 463684017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463684051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486076 + ... + 487028.

It is an arithmetic number, because the mean of its divisors is an integer number (10517850).

Almost surely, 2^463684056 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 463684056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673142400).

463684056 is an abundant number, since it is smaller than the sum of its proper divisors (882600744).

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

463684056 is a wasteful number, since it uses less digits than its factorization.

463684056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 463684056 is about 21533.3243137236. The cubic root of 463684056 is about 773.9995726750. Note that the first 3 decimals are identical.

The spelling of 463684056 in words is "four hundred sixty-three million, six hundred eighty-four thousand, fifty-six".