204643152 has 320 divisors, whose sum is σ = 723763200. Its totient is φ = 54120960.

The previous prime is 204643151. The next prime is 204643157. The reversal of 204643152 is 251346402.

204643152 is a `hidden beast` number, since 2 + 0 + 4 + 643 + 15 + 2 = 666.

204643152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204643151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3468499 + ... + 3468557.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2^204643152 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 204643152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361881600).

204643152 is an abundant number, since it is smaller than the sum of its proper divisors (519120048).

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

204643152 is a wasteful number, since it uses less digits than its factorization.

204643152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 204643152 is about 14305.3539627651. The cubic root of 204643152 is about 589.2945240147.

Adding to 204643152 its reverse (251346402), we get a palindrome (455989554).

The spelling of 204643152 in words is "two hundred four million, six hundred forty-three thousand, one hundred fifty-two".