406829693 has 2 divisors, whose sum is σ = 406829694. Its totient is φ = 406829692.

The previous prime is 406829663. The next prime is 406829707. The reversal of 406829693 is 396928604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338486404 + 68343289 = 18398^2 + 8267^2 .

It is a cyclic number.

It is not a de Polignac number, because 406829693 - 2¹² = 406825597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406829663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203414846 + 203414847.

It is an arithmetic number, because the mean of its divisors is an integer number (203414847).

Almost surely, 2^406829693 is an apocalyptic number.

It is an amenable number.

406829693 is a deficient number, since it is larger than the sum of its proper divisors (1).

406829693 is an equidigital number, since it uses as much as digits as its factorization.

406829693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 406829693 is about 20170.0196578982. The cubic root of 406829693 is about 740.9761241862.

The spelling of 406829693 in words is "four hundred six million, eight hundred twenty-nine thousand, six hundred ninety-three".