409949929 has 2 divisors, whose sum is σ = 409949930. Its totient is φ = 409949928.

The previous prime is 409949851. The next prime is 409949941. The reversal of 409949929 is 929949904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382124304 + 27825625 = 19548^2 + 5275^2 .

It is a cyclic number.

It is not a de Polignac number, because 409949929 - 2⁷ = 409949801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409949929.

It is not a weakly prime, because it can be changed into another prime (409949989) 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, 204974964 + 204974965.

It is an arithmetic number, because the mean of its divisors is an integer number (204974965).

Almost surely, 2^409949929 is an apocalyptic number.

It is an amenable number.

409949929 is a deficient number, since it is larger than the sum of its proper divisors (1).

409949929 is an equidigital number, since it uses as much as digits as its factorization.

409949929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1889568, while the sum is 55.

The square root of 409949929 is about 20247.2202783493. The cubic root of 409949929 is about 742.8656410112.

The spelling of 409949929 in words is "four hundred nine million, nine hundred forty-nine thousand, nine hundred twenty-nine".