404424 has 48 divisors (see below), whose sum is σ = 1130220. Its totient is φ = 130560.

The previous prime is 404423. The next prime is 404429. The reversal of 404424 is 424404.

Added to its reverse (424404) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 22500 = 618^2 + 150^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 404397 and 404406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2884 + ... + 3020.

2⁴⁰⁴⁴²⁴ 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 404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565110).

404424 is an abundant number, since it is smaller than the sum of its proper divisors (725796).

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

404424 is a wasteful number, since it uses less digits than its factorization.

404424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 404424 is about 635.9433937073. The cubic root of 404424 is about 73.9512705724.

Adding to 404424 its reverse (424404), we get a palindrome (828828).

It can be divided in two parts, 404 and 424, that added together give a palindrome (828).

The spelling of 404424 in words is "four hundred four thousand, four hundred twenty-four", and thus it is an iban number.