414222301 has 8 divisors (see below), whose sum is σ = 420822584. Its totient is φ = 407669760.

The previous prime is 414222253. The next prime is 414222313. The reversal of 414222301 is 103222414.

It can be written as a sum of positive squares in 4 ways, for example, as 20160100 + 394062201 = 4490^2 + 19851^2 .

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 414222301 - 2¹⁵ = 414189533 is a prime.

It is a super-2 number, since 2×414222301² = 343160229291469202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414222001) 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, 5761 + ... + 29353.

It is an arithmetic number, because the mean of its divisors is an integer number (52602823).

Almost surely, 2^414222301 is an apocalyptic number.

It is an amenable number.

414222301 is a deficient number, since it is larger than the sum of its proper divisors (6600283).

414222301 is a wasteful number, since it uses less digits than its factorization.

414222301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23871.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 414222301 is about 20352.4519653038. The cubic root of 414222301 is about 745.4373667156.

Adding to 414222301 its reverse (103222414), we get a palindrome (517444715).

The spelling of 414222301 in words is "four hundred fourteen million, two hundred twenty-two thousand, three hundred one".