408055905 has 12 divisors (see below), whose sum is σ = 707296980. Its totient is φ = 217629792.

The previous prime is 408055889. The next prime is 408055919. The reversal of 408055905 is 509550804.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 266636241 + 141419664 = 16329^2 + 11892^2 .

It is not a de Polignac number, because 408055905 - 2⁴ = 408055889 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 408055905.

It is an unprimeable number.

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, 4533910 + ... + 4533999.

It is an arithmetic number, because the mean of its divisors is an integer number (58941415).

Almost surely, 2^408055905 is an apocalyptic number.

408055905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408055905 is a deficient number, since it is larger than the sum of its proper divisors (299241075).

408055905 is a wasteful number, since it uses less digits than its factorization.

408055905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067920 (or 9067917 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 408055905 is about 20200.3936842825. The cubic root of 408055905 is about 741.7198280849.

The spelling of 408055905 in words is "four hundred eight million, fifty-five thousand, nine hundred five".