404124 has 48 divisors (see below), whose sum is σ = 1145088. Its totient is φ = 108288.

The previous prime is 404123. The next prime is 404161. The reversal of 404124 is 421404.

404124 = 47² + 48² + ... + 109².

404124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (23856).

2⁴⁰⁴¹²⁴ 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 404124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572544).

404124 is an abundant number, since it is smaller than the sum of its proper divisors (740964).

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

404124 is a wasteful number, since it uses less digits than its factorization.

404124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 404124 is about 635.7074798994. The cubic root of 404124 is about 73.9329804700.

Adding to 404124 its reverse (421404), we get a palindrome (825528).

It can be divided in two parts, 404 and 124, that added together give a triangular number (528 = T₃₂).

The spelling of 404124 in words is "four hundred four thousand, one hundred twenty-four", and thus it is an iban number.