395604405405 has 160 divisors (see below), whose sum is σ = 815226445440. Its totient is φ = 181516101120.

The previous prime is 395604405377. The next prime is 395604405407. The reversal of 395604405405 is 504504406593.

395604405405 is a `hidden beast` number, since 3 + 9 + 5 + 60 + 4 + 40 + 540 + 5 = 666.

It is not a de Polignac number, because 395604405405 - 2¹⁰ = 395604404381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395604405407) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102672459 + ... + 102676311.

It is an arithmetic number, because the mean of its divisors is an integer number (5095165284).

Almost surely, 2^395604405405 is an apocalyptic number.

It is an amenable number.

395604405405 is an abundant number, since it is smaller than the sum of its proper divisors (419622040035).

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

395604405405 is a wasteful number, since it uses less digits than its factorization.

395604405405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 395604405405 in words is "three hundred ninety-five billion, six hundred four million, four hundred five thousand, four hundred five".