404221392 has 60 divisors (see below), whose sum is σ = 1142500164. Its totient is φ = 133401600.

The previous prime is 404221387. The next prime is 404221403. The reversal of 404221392 is 293122404.

404221392 is a `hidden beast` number, since 404 + 221 + 39 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194435136 + 209786256 = 13944^2 + 14484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648 + ... + 28440.

Almost surely, 2^404221392 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 404221392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571250082).

404221392 is an abundant number, since it is smaller than the sum of its proper divisors (738278772).

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

404221392 is a wasteful number, since it uses less digits than its factorization.

404221392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27908 (or 27899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 404221392 is about 20105.2578197844. The cubic root of 404221392 is about 739.3891916088.

Adding to 404221392 its reverse (293122404), we get a palindrome (697343796).

It can be divided in two parts, 40422 and 1392, that added together give a palindrome (41814).

The spelling of 404221392 in words is "four hundred four million, two hundred twenty-one thousand, three hundred ninety-two".