404400384 has 144 divisors (see below), whose sum is σ = 1225909440. Its totient is φ = 131420160.

The previous prime is 404400377. The next prime is 404400419. The reversal of 404400384 is 483004404.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282679 + ... + 284105.

It is an arithmetic number, because the mean of its divisors is an integer number (8513260).

Almost surely, 2^404400384 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 404400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612954720).

404400384 is an abundant number, since it is smaller than the sum of its proper divisors (821509056).

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

404400384 is a wasteful number, since it uses less digits than its factorization.

404400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 404400384 is about 20109.7087000285. The cubic root of 404400384 is about 739.4983110363.

Adding to 404400384 its reverse (483004404), we get a palindrome (887404788).

The spelling of 404400384 in words is "four hundred four million, four hundred thousand, three hundred eighty-four".