2005408 has 24 divisors (see below), whose sum is σ = 4086180. Its totient is φ = 967680.

The previous prime is 2005397. The next prime is 2005417. The reversal of 2005408 is 8045002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1993744 + 11664 = 1412^2 + 108^2 .

It is a super-2 number, since 2×2005408² = 8043322492928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153 + ... + 2008.

2^2005408 is an apocalyptic number.

It is an amenable number.

2005408 is an abundant number, since it is smaller than the sum of its proper divisors (2080772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005408 is a wasteful number, since it uses less digits than its factorization.

2005408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2005408 is about 1416.1242883307. The cubic root of 2005408 is about 126.1055636707.

It can be divided in two parts, 200 and 5408, that multiplied together give a square (1081600 = 1040²).

The spelling of 2005408 in words is "two million, five thousand, four hundred eight".