404420400217 has 8 divisors (see below), whose sum is σ = 412077441096. Its totient is φ = 396764339712.

The previous prime is 404420400193. The next prime is 404420400221. The reversal of 404420400217 is 712004024404.

It can be written as a sum of positive squares in 4 ways, for example, as 196790719321 + 207629680896 = 443611^2 + 455664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-404420400217 is a prime.

It is a super-2 number, since 2×404420400217² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404420400817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616123 + ... + 1090159.

It is an arithmetic number, because the mean of its divisors is an integer number (51509680137).

Almost surely, 2^404420400217 is an apocalyptic number.

It is an amenable number.

404420400217 is a deficient number, since it is larger than the sum of its proper divisors (7657040879).

404420400217 is a wasteful number, since it uses less digits than its factorization.

404420400217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490187.

The product of its (nonzero) digits is 7168, while the sum is 28.

The spelling of 404420400217 in words is "four hundred four billion, four hundred twenty million, four hundred thousand, two hundred seventeen".