204193080 has 384 divisors, whose sum is σ = 855429120. Its totient is φ = 41057280.

The previous prime is 204193049. The next prime is 204193081. The reversal of 204193080 is 80391402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204193081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753345 + ... + 753615.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^204193080 is an apocalyptic number.

204193080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204193080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

204193080 is an abundant number, since it is smaller than the sum of its proper divisors (651236040).

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

204193080 is a wasteful number, since it uses less digits than its factorization.

204193080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 204193080 is about 14289.6144104731. The cubic root of 204193080 is about 588.8621948002.

The spelling of 204193080 in words is "two hundred four million, one hundred ninety-three thousand, eighty".