418144 has 24 divisors (see below), whose sum is σ = 839160. Its totient is φ = 205056.

The previous prime is 418129. The next prime is 418157. The reversal of 418144 is 441814.

418144 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.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2247 + ... + 2425.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2⁴¹⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

418144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

418144 is a wasteful number, since it uses less digits than its factorization.

418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 418144 is about 646.6405493008. The cubic root of 418144 is about 74.7782487014.

Adding to 418144 its reverse (441814), we get a palindrome (859958).

It can be divided in two parts, 4181 and 44, that added together give a square (4225 = 65²).

The spelling of 418144 in words is "four hundred eighteen thousand, one hundred forty-four".