416005229 has 8 divisors (see below), whose sum is σ = 426621048. Its totient is φ = 405411840.

The previous prime is 416005217. The next prime is 416005237. The reversal of 416005229 is 922500614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60871204 + 355134025 = 7802^2 + 18845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416005229 - 2²⁰ = 414956653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416005529) 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 in 7 ways as a sum of consecutive naturals, for example, 35789 + ... + 45965.

It is an arithmetic number, because the mean of its divisors is an integer number (53327631).

Almost surely, 2^416005229 is an apocalyptic number.

It is an amenable number.

416005229 is a deficient number, since it is larger than the sum of its proper divisors (10615819).

416005229 is a wasteful number, since it uses less digits than its factorization.

416005229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 416005229 is about 20396.2062403772. The cubic root of 416005229 is about 746.5053591229.

The spelling of 416005229 in words is "four hundred sixteen million, five thousand, two hundred twenty-nine".