204900192 has 240 divisors, whose sum is σ = 720099072. Its totient is φ = 55883520.

The previous prime is 204900139. The next prime is 204900211. The reversal of 204900192 is 291009402.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417067 + ... + 417557.

Almost surely, 2^204900192 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 204900192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360049536).

204900192 is an abundant number, since it is smaller than the sum of its proper divisors (515198880).

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

204900192 is a wasteful number, since it uses less digits than its factorization.

204900192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 204900192 is about 14314.3351923867. The cubic root of 204900192 is about 589.5411466336.

Adding to 204900192 its reverse (291009402), we get a palindrome (495909594).

The spelling of 204900192 in words is "two hundred four million, nine hundred thousand, one hundred ninety-two".