404404 has 48 divisors (see below), whose sum is σ = 959616. Its totient is φ = 144000.

The previous prime is 404399. The next prime is 404419.

404404 is nontrivially palindromic in base 10.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3954 + ... + 4054.

It is an arithmetic number, because the mean of its divisors is an integer number (19992).

2⁴⁰⁴⁴⁰⁴ is an apocalyptic number.

404404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479808).

404404 is an abundant number, since it is smaller than the sum of its proper divisors (555212).

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

404404 is a wasteful number, since it uses less digits than its factorization.

404404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 404404 is about 635.9276688429. The cubic root of 404404 is about 73.9500515137.

It can be divided in two parts, 404 and 404, that added together give a palindrome (808).

The spelling of 404404 in words is "four hundred four thousand, four hundred four", and thus it is an iban number.