404920405 has 12 divisors (see below), whose sum is σ = 507952620. Its totient is φ = 309850112.

The previous prime is 404920393. The next prime is 404920409. The reversal of 404920405 is 504029404.

It can be written as a sum of positive squares in 2 ways, for example, as 248945284 + 155975121 = 15778^2 + 12489^2 .

It is not a de Polignac number, because 404920405 - 2⁷ = 404920277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404920409) 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 11 ways as a sum of consecutive naturals, for example, 73900 + ... + 79189.

It is an arithmetic number, because the mean of its divisors is an integer number (42329385).

Almost surely, 2^404920405 is an apocalyptic number.

It is an amenable number.

404920405 is a deficient number, since it is larger than the sum of its proper divisors (103032215).

404920405 is a wasteful number, since it uses less digits than its factorization.

404920405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153140 (or 153117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 404920405 is about 20122.6341466519. The cubic root of 404920405 is about 739.8151504446.

Adding to 404920405 its reverse (504029404), we get a palindrome (908949809).

The spelling of 404920405 in words is "four hundred four million, nine hundred twenty thousand, four hundred five".