204989760 has 168 divisors, whose sum is σ = 712637640. Its totient is φ = 54079488.

The previous prime is 204989711. The next prime is 204989761. The reversal of 204989760 is 67989402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 189117504 = 3984^2 + 13752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204989761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313594 + ... + 314246.

Almost surely, 2^204989760 is an apocalyptic number.

204989760 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 204989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356318820).

204989760 is an abundant number, since it is smaller than the sum of its proper divisors (507647880).

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

204989760 is a wasteful number, since it uses less digits than its factorization.

204989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 204989760 is about 14317.4634624992. The cubic root of 204989760 is about 589.6270361403.

It can be divided in two parts, 2049 and 89760, that added together give a square (91809 = 303²).

The spelling of 204989760 in words is "two hundred four million, nine hundred eighty-nine thousand, seven hundred sixty".