463597056 has 240 divisors, whose sum is σ = 1474593120. Its totient is φ = 139345920.

The previous prime is 463597051. The next prime is 463597063. The reversal of 463597056 is 650795364.

463597056 is a `hidden beast` number, since 4 + 6 + 3 + 597 + 0 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463597051) 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 23 ways as a sum of consecutive naturals, for example, 4253130 + ... + 4253238.

It is an arithmetic number, because the mean of its divisors is an integer number (6144138).

Almost surely, 2^463597056 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 463597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).

463597056 is an abundant number, since it is smaller than the sum of its proper divisors (1010996064).

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

463597056 is a wasteful number, since it uses less digits than its factorization.

463597056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 463597056 is about 21531.3040942717. The cubic root of 463597056 is about 773.9511617122.

The spelling of 463597056 in words is "four hundred sixty-three million, five hundred ninety-seven thousand, fifty-six".