204140952 has 128 divisors (see below), whose sum is σ = 599808000. Its totient is φ = 64229760.

The previous prime is 204140929. The next prime is 204140971. The reversal of 204140952 is 259041402.

204140952 is a `hidden beast` number, since 204 + 1 + 409 + 52 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 287574 + ... + 288282.

It is an arithmetic number, because the mean of its divisors is an integer number (4686000).

Almost surely, 2^204140952 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 204140952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299904000).

204140952 is an abundant number, since it is smaller than the sum of its proper divisors (395667048).

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

204140952 is a wasteful number, since it uses less digits than its factorization.

204140952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 204140952 is about 14287.7903120112. The cubic root of 204140952 is about 588.8120807594.

The spelling of 204140952 in words is "two hundred four million, one hundred forty thousand, nine hundred fifty-two".