408905 has 12 divisors (see below), whose sum is σ = 571140. Its totient is φ = 280224.

The previous prime is 408869. The next prime is 408911. The reversal of 408905 is 509804.

It can be written as a sum of positive squares in 2 ways, for example, as 182329 + 226576 = 427^2 + 476^2 .

It is not a de Polignac number, because 408905 - 2⁶ = 408841 is a prime.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (47595).

2⁴⁰⁸⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

408905 is a deficient number, since it is larger than the sum of its proper divisors (162235).

408905 is a wasteful number, since it uses less digits than its factorization.

408905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 408905 is about 639.4568007301. The cubic root of 408905 is about 74.2233935968.

The spelling of 408905 in words is "four hundred eight thousand, nine hundred five".