205384095400 has 192 divisors, whose sum is σ = 540582543360. Its totient is φ = 71892960000.

The previous prime is 205384095337. The next prime is 205384095401. The reversal of 205384095400 is 4590483502.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (205384095401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13018317 + ... + 13034083.

It is an arithmetic number, because the mean of its divisors is an integer number (2815534080).

Almost surely, 2^205384095400 is an apocalyptic number.

205384095400 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 205384095400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270291271680).

205384095400 is an abundant number, since it is smaller than the sum of its proper divisors (335198447960).

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

205384095400 is a wasteful number, since it uses less digits than its factorization.

205384095400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16016 (or 16007 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 205384095400 in words is "two hundred five billion, three hundred eighty-four million, ninety-five thousand, four hundred".