408005 has 8 divisors (see below), whose sum is σ = 527352. Its totient is φ = 301248.

The previous prime is 407993. The next prime is 408011. The reversal of 408005 is 500804.

408005 = T₁₆₄ + T₁₆₅ + ... + T₁₈₉.

It can be written as a sum of positive squares in 4 ways, for example, as 75076 + 332929 = 274^2 + 577^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 408005 - 2¹⁰ = 406981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3074 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (65919).

2⁴⁰⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

408005 is a deficient number, since it is larger than the sum of its proper divisors (119347).

408005 is a wasteful number, since it uses less digits than its factorization.

408005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 408005 is about 638.7526907967. The cubic root of 408005 is about 74.1688983604.

Adding to 408005 its reverse (500804), we get a palindrome (908809).

The spelling of 408005 in words is "four hundred eight thousand, five".