406007929 has 2 divisors, whose sum is σ = 406007930. Its totient is φ = 406007928.

The previous prime is 406007911. The next prime is 406007971. The reversal of 406007929 is 929700604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 352425529 + 53582400 = 18773^2 + 7320^2 .

It is a cyclic number.

It is not a de Polignac number, because 406007929 - 2⁵ = 406007897 is a prime.

It is not a weakly prime, because it can be changed into another prime (406007909) 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, 203003964 + 203003965.

It is an arithmetic number, because the mean of its divisors is an integer number (203003965).

Almost surely, 2^406007929 is an apocalyptic number.

It is an amenable number.

406007929 is a deficient number, since it is larger than the sum of its proper divisors (1).

406007929 is an equidigital number, since it uses as much as digits as its factorization.

406007929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 406007929 is about 20149.6384334806. The cubic root of 406007929 is about 740.4768833845.

The spelling of 406007929 in words is "four hundred six million, seven thousand, nine hundred twenty-nine".