205730008 has 48 divisors (see below), whose sum is σ = 427363560. Its totient is φ = 92840880.

The previous prime is 205729969. The next prime is 205730011. The reversal of 205730008 is 800037502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 11 ways as a sum of consecutive naturals, for example, 1480003 + ... + 1480141.

Almost surely, 2^205730008 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 205730008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213681780).

205730008 is an abundant number, since it is smaller than the sum of its proper divisors (221633552).

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

205730008 is an equidigital number, since it uses as much as digits as its factorization.

205730008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 205730008 is about 14343.2913935400. The cubic root of 205730008 is about 590.3359266718.

The spelling of 205730008 in words is "two hundred five million, seven hundred thirty thousand, eight".