404202304 has 56 divisors (see below), whose sum is σ = 903280896. Its totient is φ = 177792000.

The previous prime is 404202301. The next prime is 404202317. The reversal of 404202304 is 403202404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404202301) 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 7 ways as a sum of consecutive naturals, for example, 12564 + ... + 31084.

It is an arithmetic number, because the mean of its divisors is an integer number (16130016).

Almost surely, 2^404202304 is an apocalyptic number.

404202304 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 404202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451640448).

404202304 is an abundant number, since it is smaller than the sum of its proper divisors (499078592).

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

404202304 is a wasteful number, since it uses less digits than its factorization.

404202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18575 (or 18565 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 404202304 is about 20104.7831124835. The cubic root of 404202304 is about 739.3775530338.

Adding to 404202304 its reverse (403202404), we get a palindrome (807404708).

It can be divided in two parts, 40420 and 2304, that added together give a palindrome (42724).

The spelling of 404202304 in words is "four hundred four million, two hundred two thousand, three hundred four".