404884844 has 72 divisors (see below), whose sum is σ = 895145328. Its totient is φ = 158820480.

The previous prime is 404884811. The next prime is 404884849. The reversal of 404884844 is 448488404.

It is a junction number, because it is equal to n+sod(n) for n = 404884795 and 404884804.

It is not an unprimeable number, because it can be changed into a prime (404884849) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 333182 + ... + 334394.

It is an arithmetic number, because the mean of its divisors is an integer number (12432574).

Almost surely, 2^404884844 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 404884844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447572664).

404884844 is an abundant number, since it is smaller than the sum of its proper divisors (490260484).

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

404884844 is a wasteful number, since it uses less digits than its factorization.

404884844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The square root of 404884844 is about 20121.7505202703. The cubic root of 404884844 is about 739.7934924130.

It can be divided in two parts, 40 and 4884844, that added together give a palindrome (4884884).

The spelling of 404884844 in words is "four hundred four million, eight hundred eighty-four thousand, eight hundred forty-four".