406804729 has 2 divisors, whose sum is σ = 406804730. Its totient is φ = 406804728.

The previous prime is 406804681. The next prime is 406804757. The reversal of 406804729 is 927408604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366799104 + 40005625 = 19152^2 + 6325^2 .

It is a cyclic number.

It is not a de Polignac number, because 406804729 - 2⁹ = 406804217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406804691 and 406804700.

It is not a weakly prime, because it can be changed into another prime (406804789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203402364 + 203402365.

It is an arithmetic number, because the mean of its divisors is an integer number (203402365).

Almost surely, 2^406804729 is an apocalyptic number.

It is an amenable number.

406804729 is a deficient number, since it is larger than the sum of its proper divisors (1).

406804729 is an equidigital number, since it uses as much as digits as its factorization.

406804729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 406804729 is about 20169.4008091465. The cubic root of 406804729 is about 740.9609678798.

The spelling of 406804729 in words is "four hundred six million, eight hundred four thousand, seven hundred twenty-nine".