466164 has 36 divisors (see below), whose sum is σ = 1231776. Its totient is φ = 148368.

The previous prime is 466153. The next prime is 466171. The reversal of 466164 is 461664.

466164 is a `hidden beast` number, since 46 + 616 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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.

466164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (34216).

2⁴⁶⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615888).

466164 is an abundant number, since it is smaller than the sum of its proper divisors (765612).

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

466164 is a wasteful number, since it uses less digits than its factorization.

466164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 591 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 466164 is about 682.7620376090. The cubic root of 466164 is about 77.5376993137.

It can be divided in two parts, 466 and 164, that added together give a triangular number (630 = T₃₅).

The spelling of 466164 in words is "four hundred sixty-six thousand, one hundred sixty-four".