404400000 has 192 divisors, whose sum is σ = 1346632560. Its totient is φ = 107520000.

The previous prime is 404399981. The next prime is 404400001. The reversal of 404400000 is 4404.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199832 + ... + 1200168.

Almost surely, 2^404400000 is an apocalyptic number.

404400000 is a gapful number since it is divisible by the number (40) 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 404400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673316280).

404400000 is an abundant number, since it is smaller than the sum of its proper divisors (942232560).

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

404400000 is an frugal number, since it uses more digits than its factorization.

404400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 404400000 is about 20109.6991523991. The cubic root of 404400000 is about 739.4980769717.

Adding to 404400000 its reverse (4404), we get a palindrome (404404404).

The spelling of 404400000 in words is "four hundred four million, four hundred thousand".