418140 has 72 divisors (see below), whose sum is σ = 1336608. Its totient is φ = 105600.

The previous prime is 418129. The next prime is 418157. The reversal of 418140 is 41814.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 418140.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090 + ... + 4190.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2⁴¹⁸¹⁴⁰ 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 418140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304).

418140 is an abundant number, since it is smaller than the sum of its proper divisors (918468).

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

418140 is a wasteful number, since it uses less digits than its factorization.

418140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 418140 is about 646.6374563850. The cubic root of 418140 is about 74.7780102556.

Adding to 418140 its reverse (41814), we get a palindrome (459954).

The spelling of 418140 in words is "four hundred eighteen thousand, one hundred forty".