204273069974400 has 384 divisors, whose sum is σ = 769056331887360. Its totient is φ = 46684057190400.

The previous prime is 204273069974359. The next prime is 204273069974453. The reversal of 204273069974400 is 4479960372402.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×204273069974400² (a number of 29 digits) contains 22 as substring.

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, 459493027 + ... + 459937373.

It is an arithmetic number, because the mean of its divisors is an integer number (2002750864290).

Almost surely, 2^{204273069974400} is an apocalyptic number.

204273069974400 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 204273069974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384528165943680).

204273069974400 is an abundant number, since it is smaller than the sum of its proper divisors (564783261912960).

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

204273069974400 is a wasteful number, since it uses less digits than its factorization.

204273069974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451222 (or 451205 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 204273069974400 in words is "two hundred four trillion, two hundred seventy-three billion, sixty-nine million, nine hundred seventy-four thousand, four hundred".