405384005 has 24 divisors (see below), whose sum is σ = 536506488. Its totient is φ = 292311936.

The previous prime is 405383987. The next prime is 405384013. The reversal of 405384005 is 500483504.

It can be written as a sum of positive squares in 4 ways, for example, as 82319329 + 323064676 = 9073^2 + 17974^2 .

It is not a de Polignac number, because 405384005 - 2⁶ = 405383941 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 118499 + ... + 121871.

It is an arithmetic number, because the mean of its divisors is an integer number (22354437).

Almost surely, 2^405384005 is an apocalyptic number.

It is an amenable number.

405384005 is a deficient number, since it is larger than the sum of its proper divisors (131122483).

405384005 is a wasteful number, since it uses less digits than its factorization.

405384005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 405384005 is about 20134.1502179754. The cubic root of 405384005 is about 740.0973849190.

The spelling of 405384005 in words is "four hundred five million, three hundred eighty-four thousand, five".