404005005 has 24 divisors (see below), whose sum is σ = 730723968. Its totient is φ = 206100576.

The previous prime is 404005001. The next prime is 404005027. The reversal of 404005005 is 500500404.

It is a happy number.

It is not a de Polignac number, because 404005005 - 2² = 404005001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404005001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194137 + ... + 196206.

It is an arithmetic number, because the mean of its divisors is an integer number (30446832).

Almost surely, 2^404005005 is an apocalyptic number.

404005005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404005005 is a deficient number, since it is larger than the sum of its proper divisors (326718963).

404005005 is a wasteful number, since it uses less digits than its factorization.

404005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390377 (or 390374 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 404005005 is about 20099.8757458846. The cubic root of 404005005 is about 739.2572319370.

Adding to 404005005 its reverse (500500404), we get a palindrome (904505409).

The spelling of 404005005 in words is "four hundred four million, five thousand, five".