405319431 has 16 divisors (see below), whose sum is σ = 590640768. Its totient is φ = 245196000.

The previous prime is 405319427. The next prime is 405319459. The reversal of 405319431 is 134913504.

It is not a de Polignac number, because 405319431 - 2² = 405319427 is a prime.

It is a super-2 number, since 2×405319431² = 328567682292327522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405319471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7356 + ... + 29406.

It is an arithmetic number, because the mean of its divisors is an integer number (36915048).

Almost surely, 2^405319431 is an apocalyptic number.

405319431 is a deficient number, since it is larger than the sum of its proper divisors (185321337).

405319431 is a wasteful number, since it uses less digits than its factorization.

405319431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22622.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 405319431 is about 20132.5465602343. The cubic root of 405319431 is about 740.0580858958.

The spelling of 405319431 in words is "four hundred five million, three hundred nineteen thousand, four hundred thirty-one".