204009792 has 112 divisors (see below), whose sum is σ = 653247360. Its totient is φ = 54853632.

The previous prime is 204009769. The next prime is 204009797. The reversal of 204009792 is 297900402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204009797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18384 + ... + 27312.

Almost surely, 2^204009792 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 204009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326623680).

204009792 is an abundant number, since it is smaller than the sum of its proper divisors (449237568).

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

204009792 is a wasteful number, since it uses less digits than its factorization.

204009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 204009792 is about 14283.1996415369. The cubic root of 204009792 is about 588.6859503621.

The spelling of 204009792 in words is "two hundred four million, nine thousand, seven hundred ninety-two".