405431317 has 8 divisors (see below), whose sum is σ = 429987096. Its totient is φ = 380954112.

The previous prime is 405431309. The next prime is 405431321. The reversal of 405431317 is 713134504.

It can be written as a sum of positive squares in 4 ways, for example, as 53361 + 405377956 = 231^2 + 20134^2 .

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 405431317 - 2³ = 405431309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405431347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8838 + ... + 29815.

It is an arithmetic number, because the mean of its divisors is an integer number (53748387).

Almost surely, 2^405431317 is an apocalyptic number.

It is an amenable number.

405431317 is a deficient number, since it is larger than the sum of its proper divisors (24555779).

405431317 is a wasteful number, since it uses less digits than its factorization.

405431317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39287.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 405431317 is about 20135.3251029130. The cubic root of 405431317 is about 740.1261758308.

The spelling of 405431317 in words is "four hundred five million, four hundred thirty-one thousand, three hundred seventeen".