205454304002430 has 192 divisors, whose sum is σ = 626566482846720. Its totient is φ = 45740296622592.

The previous prime is 205454304002419. The next prime is 205454304002473. The reversal of 205454304002430 is 34200403454502.

205454304002430 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 5 + 4 + 3 + 0 + 400 + 243 + 0 = 666.

It is a super-2 number, since 2×205454304002430² (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 95 ways as a sum of consecutive naturals, for example, 23588434 + ... + 31101813.

It is an arithmetic number, because the mean of its divisors is an integer number (3263367098160).

Almost surely, 2^{205454304002430} is an apocalyptic number.

205454304002430 is an abundant number, since it is smaller than the sum of its proper divisors (421112178844290).

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

205454304002430 is a wasteful number, since it uses less digits than its factorization.

205454304002430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54690423 (or 54690420 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 205454304002430 its reverse (34200403454502), we get a palindrome (239654707456932).

The spelling of 205454304002430 in words is "two hundred five trillion, four hundred fifty-four billion, three hundred four million, two thousand, four hundred thirty".