204382452960 has 480 divisors, whose sum is σ = 846635993280. Its totient is φ = 45452648448.

The previous prime is 204382452913. The next prime is 204382453013. The reversal of 204382452960 is 69254283402.

204382452960 is a `hidden beast` number, since 2 + 0 + 43 + 8 + 24 + 529 + 60 = 666.

204382452960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×204382452960² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3326196 + ... + 3387084.

It is an arithmetic number, because the mean of its divisors is an integer number (1763824986).

Almost surely, 2^204382452960 is an apocalyptic number.

204382452960 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 204382452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423317996640).

204382452960 is an abundant number, since it is smaller than the sum of its proper divisors (642253540320).

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

204382452960 is a wasteful number, since it uses less digits than its factorization.

204382452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60960 (or 60943 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 204382452960 in words is "two hundred four billion, three hundred eighty-two million, four hundred fifty-two thousand, nine hundred sixty".