405204459755481 has 27 divisors (see below), whose sum is σ = 586901319560829. Its totient is φ = 269397103990752.

The previous prime is 405204459755461. The next prime is 405204459755521. The reversal of 405204459755481 is 184557954402504.

The square root of 405204459755481 is 20129691.

It is a perfect power (a square), and thus also a powerful number.

405204459755481 is a `hidden beast` number, since 4 + 0 + 5 + 20 + 4 + 4 + 59 + 7 + 554 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43002052184025 + 362202407571456 = 6557595^2 + 19031616^2 .

It is not a de Polignac number, because 405204459755481 - 2⁷ = 405204459755353 is a prime.

It is a super-2 number, since 2×405204459755481² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405204459755401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22525115235 + ... + 22525133223.

Almost surely, 2^{405204459755481} is an apocalyptic number.

405204459755481 is the 20129691-st square number.

405204459755481 is the 10064846-th centered octagonal number.

It is an amenable number.

405204459755481 is a deficient number, since it is larger than the sum of its proper divisors (181696859805348).

405204459755481 is an frugal number, since it uses more digits than its factorization.

405204459755481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36730 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 405204459755481 in words is "four hundred five trillion, two hundred four billion, four hundred fifty-nine million, seven hundred fifty-five thousand, four hundred eighty-one".