404144000 has 256 divisors, whose sum is σ = 1136116800. Its totient is φ = 141926400.

The previous prime is 404143991. The next prime is 404144033. The reversal of 404144000 is 441404.

It is a self number, because there is not a number n which added to its sum of digits gives 404144000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6031967 + ... + 6032033.

Almost surely, 2^404144000 is an apocalyptic number.

404144000 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 404144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568058400).

404144000 is an abundant number, since it is smaller than the sum of its proper divisors (731972800).

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

404144000 is a wasteful number, since it uses less digits than its factorization.

404144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 404144000 is about 20103.3330569834. Note that the first 3 decimals coincide. The cubic root of 404144000 is about 739.3420009176.

Adding to 404144000 its reverse (441404), we get a palindrome (404585404).

The spelling of 404144000 in words is "four hundred four million, one hundred forty-four thousand".