463578768 has 40 divisors (see below), whose sum is σ = 1330644000. Its totient is φ = 154526112.

The previous prime is 463578749. The next prime is 463578827. The reversal of 463578768 is 867875364.

463578768 is a `hidden beast` number, since 4 + 6 + 3 + 578 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 536118 + ... + 536981.

It is an arithmetic number, because the mean of its divisors is an integer number (33266100).

Almost surely, 2^463578768 is an apocalyptic number.

463578768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463578768 is an abundant number, since it is smaller than the sum of its proper divisors (867065232).

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

463578768 is a wasteful number, since it uses less digits than its factorization.

463578768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073116 (or 1073104 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 463578768 is about 21530.8794060995. The cubic root of 463578768 is about 773.9409846236.

The spelling of 463578768 in words is "four hundred sixty-three million, five hundred seventy-eight thousand, seven hundred sixty-eight".