404209584001 has 8 divisors (see below), whose sum is σ = 428085379080. Its totient is φ = 380344762368.

The previous prime is 404209583971. The next prime is 404209584007. The reversal of 404209584001 is 100485902404.

It can be written as a sum of positive squares in 4 ways, for example, as 3930663025 + 400278920976 = 62695^2 + 632676^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 404209584001 - 2¹⁷ = 404209452929 is a prime.

It is a super-2 number, since 2×404209584001² (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 (404209584007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2667456 + ... + 2814913.

It is an arithmetic number, because the mean of its divisors is an integer number (53510672385).

Almost surely, 2^404209584001 is an apocalyptic number.

It is an amenable number.

404209584001 is a deficient number, since it is larger than the sum of its proper divisors (23875795079).

404209584001 is a wasteful number, since it uses less digits than its factorization.

404209584001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486723.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 404209584001 in words is "four hundred four billion, two hundred nine million, five hundred eighty-four thousand, one".