204255242400 has 288 divisors, whose sum is σ = 735513924096. Its totient is φ = 48818560000.

The previous prime is 204255242383. The next prime is 204255242407. The reversal of 204255242400 is 4242552402.

204255242400 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 super-3 number, since 3×204255242400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (204255242407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1819915 + ... + 1928885.

It is an arithmetic number, because the mean of its divisors is an integer number (2553867792).

Almost surely, 2^204255242400 is an apocalyptic number.

204255242400 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 204255242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367756962048).

204255242400 is an abundant number, since it is smaller than the sum of its proper divisors (531258681696).

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

204255242400 is a wasteful number, since it uses less digits than its factorization.

204255242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109076 (or 109063 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 204255242400 its reverse (4242552402), we get a palindrome (208497794802).

The spelling of 204255242400 in words is "two hundred four billion, two hundred fifty-five million, two hundred forty-two thousand, four hundred".