463164 has 24 divisors (see below), whose sum is σ = 1164240. Its totient is φ = 142464.

The previous prime is 463157. The next prime is 463181. The reversal of 463164 is 461364.

463164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

463164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 1640.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁴⁶³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

463164 is an abundant number, since it is smaller than the sum of its proper divisors (701076).

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

463164 is a wasteful number, since it uses less digits than its factorization.

463164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2987 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 463164 is about 680.5615328536. The cubic root of 463164 is about 77.3710098483.

The spelling of 463164 in words is "four hundred sixty-three thousand, one hundred sixty-four".