205428960 has 360 divisors, whose sum is σ = 802976328. Its totient is φ = 49420800.

The previous prime is 205428959. The next prime is 205428989. The reversal of 205428960 is 69824502.

It is a happy number.

205428960 is a `hidden beast` number, since 20 + 542 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568095 + ... + 1568225.

Almost surely, 2^205428960 is an apocalyptic number.

205428960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401488164).

205428960 is an abundant number, since it is smaller than the sum of its proper divisors (597547368).

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

205428960 is a wasteful number, since it uses less digits than its factorization.

205428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 205428960 is about 14332.7931681163. The cubic root of 205428960 is about 590.0478367801.

The spelling of 205428960 in words is "two hundred five million, four hundred twenty-eight thousand, nine hundred sixty".