404952309817 has 32 divisors (see below), whose sum is σ = 449320608000. Its totient is φ = 361897789440.

The previous prime is 404952309809. The next prime is 404952309899. The reversal of 404952309817 is 718903259404.

It is not a de Polignac number, because 404952309817 - 2³ = 404952309809 is a prime.

It is a super-2 number, since 2×404952309817² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404952309617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131093409 + ... + 131096497.

It is an arithmetic number, because the mean of its divisors is an integer number (14041269000).

Almost surely, 2^404952309817 is an apocalyptic number.

It is an amenable number.

404952309817 is a deficient number, since it is larger than the sum of its proper divisors (44368298183).

404952309817 is a wasteful number, since it uses less digits than its factorization.

404952309817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 404952309817 in words is "four hundred four billion, nine hundred fifty-two million, three hundred nine thousand, eight hundred seventeen".