204473952 has 144 divisors (see below), whose sum is σ = 602023968. Its totient is φ = 65802240.

The previous prime is 204473939. The next prime is 204473957. The reversal of 204473952 is 259374402.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204473957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1809448 + ... + 1809560.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2^204473952 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 204473952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301011984).

204473952 is an abundant number, since it is smaller than the sum of its proper divisors (397550016).

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

204473952 is a wasteful number, since it uses less digits than its factorization.

204473952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 204473952 is about 14299.4388701096. The cubic root of 204473952 is about 589.1320686626.

The spelling of 204473952 in words is "two hundred four million, four hundred seventy-three thousand, nine hundred fifty-two".