405404429 has 2 divisors, whose sum is σ = 405404430. Its totient is φ = 405404428.

The previous prime is 405404401. The next prime is 405404431. The reversal of 405404429 is 924404504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401802025 + 3602404 = 20045^2 + 1898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405404429 is a prime.

Together with 405404431, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 405404395 and 405404404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405404459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202702214 + 202702215.

It is an arithmetic number, because the mean of its divisors is an integer number (202702215).

Almost surely, 2^405404429 is an apocalyptic number.

It is an amenable number.

405404429 is a deficient number, since it is larger than the sum of its proper divisors (1).

405404429 is an equidigital number, since it uses as much as digits as its factorization.

405404429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 405404429 is about 20134.6574095513. The cubic root of 405404429 is about 740.1098138711.

The spelling of 405404429 in words is "four hundred five million, four hundred four thousand, four hundred twenty-nine".