204252360 has 128 divisors (see below), whose sum is σ = 663586560. Its totient is φ = 49996800.

The previous prime is 204252353. The next prime is 204252361. The reversal of 204252360 is 63252402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204252360.

It is not an unprimeable number, because it can be changed into a prime (204252361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484950 + ... + 485370.

It is an arithmetic number, because the mean of its divisors is an integer number (5184270).

Almost surely, 2^204252360 is an apocalyptic number.

204252360 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 204252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331793280).

204252360 is an abundant number, since it is smaller than the sum of its proper divisors (459334200).

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

204252360 is a wasteful number, since it uses less digits than its factorization.

204252360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 204252360 is about 14291.6884936665. The cubic root of 204252360 is about 588.9191741607.

The spelling of 204252360 in words is "two hundred four million, two hundred fifty-two thousand, three hundred sixty".