414225305 has 8 divisors (see below), whose sum is σ = 535306632. Its totient is φ = 305889408.

The previous prime is 414225293. The next prime is 414225311. The reversal of 414225305 is 503522414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36156169 + 378069136 = 6013^2 + 19444^2 .

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 414225305 - 2¹² = 414221209 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3186284 + ... + 3186413.

It is an arithmetic number, because the mean of its divisors is an integer number (66913329).

Almost surely, 2^414225305 is an apocalyptic number.

It is an amenable number.

414225305 is a deficient number, since it is larger than the sum of its proper divisors (121081327).

414225305 is a wasteful number, since it uses less digits than its factorization.

414225305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372715.

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 414225305 is about 20352.5257646318. The cubic root of 414225305 is about 745.4391687178.

Adding to 414225305 its reverse (503522414), we get a palindrome (917747719).

The spelling of 414225305 in words is "four hundred fourteen million, two hundred twenty-five thousand, three hundred five".