463130160 has 80 divisors (see below), whose sum is σ = 1455978240. Its totient is φ = 121757440.

The previous prime is 463130119. The next prime is 463130183. The reversal of 463130160 is 61031364.

463130160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 463130160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3451 + ... + 30629.

It is an arithmetic number, because the mean of its divisors is an integer number (18199728).

Almost surely, 2^463130160 is an apocalyptic number.

463130160 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 463130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727989120).

463130160 is an abundant number, since it is smaller than the sum of its proper divisors (992848080).

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

463130160 is a wasteful number, since it uses less digits than its factorization.

463130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27266 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 463130160 is about 21520.4591029095. The cubic root of 463130160 is about 773.6912549149.

The spelling of 463130160 in words is "four hundred sixty-three million, one hundred thirty thousand, one hundred sixty".