406952729 has 2 divisors, whose sum is σ = 406952730. Its totient is φ = 406952728.

The previous prime is 406952683. The next prime is 406952747. The reversal of 406952729 is 927259604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397922704 + 9030025 = 19948^2 + 3005^2 .

It is a cyclic number.

It is not a de Polignac number, because 406952729 - 2²⁸ = 138517273 is a prime.

It is a super-2 number, since 2×406952729² = 331221047281094882, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 406952729.

It is not a weakly prime, because it can be changed into another prime (406952789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203476364 + 203476365.

It is an arithmetic number, because the mean of its divisors is an integer number (203476365).

Almost surely, 2^406952729 is an apocalyptic number.

It is an amenable number.

406952729 is a deficient number, since it is larger than the sum of its proper divisors (1).

406952729 is an equidigital number, since it uses as much as digits as its factorization.

406952729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 406952729 is about 20173.0693995733. The cubic root of 406952729 is about 741.0508135473.

The spelling of 406952729 in words is "four hundred six million, nine hundred fifty-two thousand, seven hundred twenty-nine".