205041408 has 144 divisors (see below), whose sum is σ = 641456256. Its totient is φ = 57323520.

The previous prime is 205041391. The next prime is 205041439. The reversal of 205041408 is 804140502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108891 + ... + 110757.

Almost surely, 2^205041408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320728128).

205041408 is an abundant number, since it is smaller than the sum of its proper divisors (436414848).

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

205041408 is a wasteful number, since it uses less digits than its factorization.

205041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 205041408 is about 14319.2670203471. The cubic root of 205041408 is about 589.6765516216.

It can be divided in two parts, 20504 and 1408, that added together give a palindrome (21912).

The spelling of 205041408 in words is "two hundred five million, forty-one thousand, four hundred eight".