416364029 has 2 divisors, whose sum is σ = 416364030. Its totient is φ = 416364028.

The previous prime is 416364019. The next prime is 416364037. The reversal of 416364029 is 920463614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 416364025 + 4 = 20405^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 416364029 - 2²⁴ = 399586813 is a prime.

It is a super-2 number, since 2×416364029² = 346718009290225682, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416364029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416364019) 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, 208182014 + 208182015.

It is an arithmetic number, because the mean of its divisors is an integer number (208182015).

Almost surely, 2^416364029 is an apocalyptic number.

It is an amenable number.

416364029 is a deficient number, since it is larger than the sum of its proper divisors (1).

416364029 is an equidigital number, since it uses as much as digits as its factorization.

416364029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 416364029 is about 20405.0000980152. Note that the first 4 decimals coincide. The cubic root of 416364029 is about 746.7199150437.

The spelling of 416364029 in words is "four hundred sixteen million, three hundred sixty-four thousand, twenty-nine".