463108000 has 48 divisors (see below), whose sum is σ = 1137866184. Its totient is φ = 185241600.

The previous prime is 463107991. The next prime is 463108027. The reversal of 463108000 is 801364.

It can be written as a sum of positive squares in 4 ways, for example, as 51667344 + 411440656 = 7188^2 + 20284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53889 + ... + 61888.

Almost surely, 2^463108000 is an apocalyptic number.

463108000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463108000 is an abundant number, since it is smaller than the sum of its proper divisors (674758184).

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

463108000 is a wasteful number, since it uses less digits than its factorization.

463108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115802 (or 115784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 463108000 is about 21519.9442378460. The cubic root of 463108000 is about 773.6789147759.

Adding to 463108000 its reverse (801364), we get a palindrome (463909364).

The spelling of 463108000 in words is "four hundred sixty-three million, one hundred eight thousand".