205408 has 36 divisors (see below), whose sum is σ = 474012. Its totient is φ = 87360.

The previous prime is 205399. The next prime is 205417. The reversal of 205408 is 804502.

It is a happy number.

205408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205399) and next prime (205417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1503 + ... + 1633.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2²⁰⁵⁴⁰⁸ is an apocalyptic number.

205408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

205408 is the 262-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237006).

205408 is an abundant number, since it is smaller than the sum of its proper divisors (268604).

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

205408 is a wasteful number, since it uses less digits than its factorization.

205408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

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

The square root of 205408 is about 453.2195935747. The cubic root of 205408 is about 59.0027768491.

The spelling of 205408 in words is "two hundred five thousand, four hundred eight".