205413408 has 240 divisors, whose sum is σ = 657407520. Its totient is φ = 62705664.

The previous prime is 205413407. The next prime is 205413457. The reversal of 205413408 is 804314502.

205413408 is a `hidden beast` number, since 205 + 413 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205413407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2117616 + ... + 2117712.

It is an arithmetic number, because the mean of its divisors is an integer number (2739198).

Almost surely, 2^205413408 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 205413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328703760).

205413408 is an abundant number, since it is smaller than the sum of its proper divisors (451994112).

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

205413408 is a wasteful number, since it uses less digits than its factorization.

205413408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 205413408 is about 14332.2506257740. The cubic root of 205413408 is about 590.0329465467.

The spelling of 205413408 in words is "two hundred five million, four hundred thirteen thousand, four hundred eight".