418164 has 12 divisors (see below), whose sum is σ = 975744. Its totient is φ = 139384.

The previous prime is 418157. The next prime is 418169. The reversal of 418164 is 461814.

418164 is digitally balanced in base 3, 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 (12).

It is a super-2 number, since 2×418164² = 349722261792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17412 + ... + 17435.

It is an arithmetic number, because the mean of its divisors is an integer number (81312).

2⁴¹⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

418164 is an abundant number, since it is smaller than the sum of its proper divisors (557580).

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

418164 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 418164 = (118446)₁₃.

418164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34854 (or 34852 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 418164 is about 646.6560136580. The cubic root of 418164 is about 74.7794409072.

Adding to 418164 its reverse (461814), we get a palindrome (879978).

The spelling of 418164 in words is "four hundred eighteen thousand, one hundred sixty-four".