406729 has 2 divisors, whose sum is σ = 406730. Its totient is φ = 406728.

The previous prime is 406717. The next prime is 406739. The reversal of 406729 is 927604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328329 + 78400 = 573^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 406729 - 2⁵ = 406697 is a prime.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 406697 and 406706.

It is not a weakly prime, because it can be changed into another prime (406739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203364 + 203365.

It is an arithmetic number, because the mean of its divisors is an integer number (203365).

2⁴⁰⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

406729 is a deficient number, since it is larger than the sum of its proper divisors (1).

406729 is an equidigital number, since it uses as much as digits as its factorization.

406729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 406729 is about 637.7530870172. The cubic root of 406729 is about 74.0914987002.

It can be divided in two parts, 4067 and 29, that added together give a 12-th power (4096 = 2¹²).

The spelling of 406729 in words is "four hundred six thousand, seven hundred twenty-nine".