463086680 has 96 divisors (see below), whose sum is σ = 1231161120. Its totient is φ = 153561600.

The previous prime is 463086667. The next prime is 463086683. The reversal of 463086680 is 86680364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463086683) 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, 268220 + ... + 269940.

It is an arithmetic number, because the mean of its divisors is an integer number (12824595).

Almost surely, 2^463086680 is an apocalyptic number.

463086680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615580560).

463086680 is an abundant number, since it is smaller than the sum of its proper divisors (768074440).

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

463086680 is a wasteful number, since it uses less digits than its factorization.

463086680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 463086680 is about 21519.4488777013. The cubic root of 463086680 is about 773.6670420323.

The spelling of 463086680 in words is "four hundred sixty-three million, eighty-six thousand, six hundred eighty".