404804484400 has 120 divisors (see below), whose sum is σ = 980070084000. Its totient is φ = 160670976000.

The previous prime is 404804484389. The next prime is 404804484407. The reversal of 404804484400 is 4484408404.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (404804484407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63356406 + ... + 63362794.

It is an arithmetic number, because the mean of its divisors is an integer number (8167250700).

Almost surely, 2^404804484400 is an apocalyptic number.

404804484400 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 404804484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490035042000).

404804484400 is an abundant number, since it is smaller than the sum of its proper divisors (575265599600).

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

404804484400 is a wasteful number, since it uses less digits than its factorization.

404804484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 404804484400 in words is "four hundred four billion, eight hundred four million, four hundred eighty-four thousand, four hundred".