205472384 has 128 divisors (see below), whose sum is σ = 475809600. Its totient is φ = 87588864.

The previous prime is 205472383. The next prime is 205472417. The reversal of 205472384 is 483274502.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (205472383) by changing a digit.

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, 2118224 + ... + 2118320.

Almost surely, 2^205472384 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 205472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237904800).

205472384 is an abundant number, since it is smaller than the sum of its proper divisors (270337216).

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

205472384 is a wasteful number, since it uses less digits than its factorization.

205472384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 205472384 is about 14334.3079358579. The cubic root of 205472384 is about 590.0894090299.

The spelling of 205472384 in words is "two hundred five million, four hundred seventy-two thousand, three hundred eighty-four".