405641329 has 2 divisors, whose sum is σ = 405641330. Its totient is φ = 405641328.

The previous prime is 405641309. The next prime is 405641333. The reversal of 405641329 is 923146504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203347600 + 202293729 = 14260^2 + 14223^2 .

It is a cyclic number.

It is not a de Polignac number, because 405641329 - 2⁵ = 405641297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405641294 and 405641303.

It is not a weakly prime, because it can be changed into another prime (405641309) 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 as a sum of consecutive naturals, namely, 202820664 + 202820665.

It is an arithmetic number, because the mean of its divisors is an integer number (202820665).

Almost surely, 2^405641329 is an apocalyptic number.

It is an amenable number.

405641329 is a deficient number, since it is larger than the sum of its proper divisors (1).

405641329 is an equidigital number, since it uses as much as digits as its factorization.

405641329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 405641329 is about 20140.5394416336. The cubic root of 405641329 is about 740.2539480258.

The spelling of 405641329 in words is "four hundred five million, six hundred forty-one thousand, three hundred twenty-nine".