418404 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 112128.

The previous prime is 418391. The next prime is 418423. The reversal of 418404 is 404814.

418404 = T₁₇ + T₁₈ + ... + T₁₃₅.

418404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

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 418404.

It is an unprimeable number.

418404 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁴¹⁸⁴⁰⁴ 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 418404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

418404 is an abundant number, since it is smaller than the sum of its proper divisors (767004).

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

418404 is a wasteful number, since it uses less digits than its factorization.

418404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 418404 is about 646.8415571065. The cubic root of 418404 is about 74.7937444128.

The spelling of 418404 in words is "four hundred eighteen thousand, four hundred four".