404168144 has 40 divisors (see below), whose sum is σ = 819798720. Its totient is φ = 192665088.

The previous prime is 404168101. The next prime is 404168147. The reversal of 404168144 is 441861404.

It is a self number, because there is not a number n which added to its sum of digits gives 404168144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404168147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 122387 + ... + 125645.

It is an arithmetic number, because the mean of its divisors is an integer number (20494968).

Almost surely, 2^404168144 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 404168144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409899360).

404168144 is an abundant number, since it is smaller than the sum of its proper divisors (415630576).

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

404168144 is a wasteful number, since it uses less digits than its factorization.

404168144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 404168144 is about 20103.9335454532. The cubic root of 404168144 is about 739.3567236549.

The spelling of 404168144 in words is "four hundred four million, one hundred sixty-eight thousand, one hundred forty-four".