414323201 has 8 divisors (see below), whose sum is σ = 442579464. Its totient is φ = 386498560.

The previous prime is 414323191. The next prime is 414323251. The reversal of 414323201 is 102323414.

It can be written as a sum of positive squares in 4 ways, for example, as 5313025 + 409010176 = 2305^2 + 20224^2 .

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 414323201 - 2⁶ = 414323137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414323251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105920 + ... + 109761.

It is an arithmetic number, because the mean of its divisors is an integer number (55322433).

Almost surely, 2^414323201 is an apocalyptic number.

It is an amenable number.

414323201 is a deficient number, since it is larger than the sum of its proper divisors (28256263).

414323201 is a wasteful number, since it uses less digits than its factorization.

414323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215811.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 414323201 is about 20354.9306311763. The cubic root of 414323201 is about 745.4978885850.

Adding to 414323201 its reverse (102323414), we get a palindrome (516646615).

The spelling of 414323201 in words is "four hundred fourteen million, three hundred twenty-three thousand, two hundred one".