404444404 has 48 divisors (see below), whose sum is σ = 874944000. Its totient is φ = 159296256.

The previous prime is 404444401. The next prime is 404444407.

404444404 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (404444401) and next prime (404444407).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404444401) 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, 84672 + ... + 89320.

It is an arithmetic number, because the mean of its divisors is an integer number (18228000).

Almost surely, 2^404444404 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 404444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

404444404 is an abundant number, since it is smaller than the sum of its proper divisors (470499596).

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

404444404 is a wasteful number, since it uses less digits than its factorization.

404444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 404444404 is about 20110.8031664576. The cubic root of 404444404 is about 739.5251421471.

It can be divided in two parts, 40 and 4444404, that added together give a palindrome (4444444).

The spelling of 404444404 in words is "four hundred four million, four hundred forty-four thousand, four hundred four".