205341552 has 120 divisors (see below), whose sum is σ = 622876800. Its totient is φ = 62774784.

The previous prime is 205341541. The next prime is 205341553. The reversal of 205341552 is 255143502.

It is a happy number.

205341552 is a `hidden beast` number, since 20 + 53 + 41 + 552 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205341553) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 428449 + ... + 428927.

It is an arithmetic number, because the mean of its divisors is an integer number (5190640).

Almost surely, 2^205341552 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 205341552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311438400).

205341552 is an abundant number, since it is smaller than the sum of its proper divisors (417535248).

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

205341552 is a wasteful number, since it uses less digits than its factorization.

205341552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 205341552 is about 14329.7436125005. The cubic root of 205341552 is about 589.9641383929.

The spelling of 205341552 in words is "two hundred five million, three hundred forty-one thousand, five hundred fifty-two".