404011344 has 80 divisors (see below), whose sum is σ = 1175353344. Its totient is φ = 118473600.

The previous prime is 404011327. The next prime is 404011351. The reversal of 404011344 is 443110404.

It is a self number, because there is not a number n which added to its sum of digits gives 404011344.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4027 + ... + 28709.

Almost surely, 2^404011344 is an apocalyptic number.

404011344 is a gapful number since it is divisible by the number (44) 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 404011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587676672).

404011344 is an abundant number, since it is smaller than the sum of its proper divisors (771342000).

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

404011344 is a wasteful number, since it uses less digits than its factorization.

404011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24736 (or 24730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 404011344 is about 20100.0334328080. The cubic root of 404011344 is about 739.2610983305.

Adding to 404011344 its reverse (443110404), we get a palindrome (847121748).

The spelling of 404011344 in words is "four hundred four million, eleven thousand, three hundred forty-four".