408468105 has 24 divisors (see below), whose sum is σ = 710341632. Its totient is φ = 217132704.

The previous prime is 408468091. The next prime is 408468119. The reversal of 408468105 is 501864804.

It is an interprime number because it is at equal distance from previous prime (408468091) and next prime (408468119).

It is not a de Polignac number, because 408468105 - 2⁷ = 408467977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 408468105.

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, 969 + ... + 28598.

It is an arithmetic number, because the mean of its divisors is an integer number (29597568).

Almost surely, 2^408468105 is an apocalyptic number.

408468105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408468105 is a deficient number, since it is larger than the sum of its proper divisors (301873527).

408468105 is a wasteful number, since it uses less digits than its factorization.

408468105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29885 (or 29882 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 408468105 is about 20210.5938804381. The cubic root of 408468105 is about 741.9694948747.

The spelling of 408468105 in words is "four hundred eight million, four hundred sixty-eight thousand, one hundred five".