204492288 has 480 divisors, whose sum is σ = 783699840. Its totient is φ = 46448640.

The previous prime is 204492271. The next prime is 204492317. The reversal of 204492288 is 882294402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10762743 + ... + 10762761.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^204492288 is an apocalyptic number.

204492288 is a gapful number since it is divisible by the number (28) 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 204492288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

204492288 is an abundant number, since it is smaller than the sum of its proper divisors (579207552).

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

204492288 is a wasteful number, since it uses less digits than its factorization.

204492288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 204492288 is about 14300.0799997762. The cubic root of 204492288 is about 589.1496780820.

The spelling of 204492288 in words is "two hundred four million, four hundred ninety-two thousand, two hundred eighty-eight".