404404002 has 56 divisors (see below), whose sum is σ = 921267840. Its totient is φ = 133057080.

The previous prime is 404403983. The next prime is 404404003. The reversal of 404404002 is 200404404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (404404003) 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 27 ways as a sum of consecutive naturals, for example, 113427 + ... + 116937.

Almost surely, 2^404404002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404404002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460633920).

404404002 is an abundant number, since it is smaller than the sum of its proper divisors (516863838).

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

404404002 is an equidigital number, since it uses as much as digits as its factorization.

404404002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 404404002 is about 20109.7986563764. The cubic root of 404404002 is about 739.5005163564.

Adding to 404404002 its reverse (200404404), we get a palindrome (604808406).

The spelling of 404404002 in words is "four hundred four million, four hundred four thousand, two".