404680224 has 96 divisors (see below), whose sum is σ = 1170759744. Its totient is φ = 121605120.

The previous prime is 404680163. The next prime is 404680229. The reversal of 404680224 is 422086404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 404680191 and 404680200.

It is not an unprimeable number, because it can be changed into a prime (404680229) 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 15 ways as a sum of consecutive naturals, for example, 49894 + ... + 57434.

It is an arithmetic number, because the mean of its divisors is an integer number (12195414).

Almost surely, 2^404680224 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 404680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585379872).

404680224 is an abundant number, since it is smaller than the sum of its proper divisors (766079520).

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

404680224 is a wasteful number, since it uses less digits than its factorization.

404680224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 404680224 is about 20116.6653300193. The cubic root of 404680224 is about 739.6688462289.

The spelling of 404680224 in words is "four hundred four million, six hundred eighty thousand, two hundred twenty-four".