418120 has 16 divisors (see below), whose sum is σ = 940860. Its totient is φ = 167232.

The previous prime is 418109. The next prime is 418129. The reversal of 418120 is 21814.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 391876 + 26244 = 626^2 + 162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 418094 and 418103.

It is not an unprimeable number, because it can be changed into a prime (418129) by changing a digit.

418120 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5187 + ... + 5266.

2⁴¹⁸¹²⁰ is an apocalyptic number.

418120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418120 is an abundant number, since it is smaller than the sum of its proper divisors (522740).

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

418120 is a wasteful number, since it uses less digits than its factorization.

418120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 418120 is about 646.6219915840. The cubic root of 418120 is about 74.7768180042.

Adding to 418120 its reverse (21814), we get a palindrome (439934).

The spelling of 418120 in words is "four hundred eighteen thousand, one hundred twenty".