414224401 has 2 divisors, whose sum is σ = 414224402. Its totient is φ = 414224400.

The previous prime is 414224399. The next prime is 414224417. The reversal of 414224401 is 104422414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255968001 + 158256400 = 15999^2 + 12580^2 .

It is a cyclic number.

It is not a de Polignac number, because 414224401 - 2¹ = 414224399 is a prime.

Together with 414224399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414225401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207112200 + 207112201.

It is an arithmetic number, because the mean of its divisors is an integer number (207112201).

Almost surely, 2^414224401 is an apocalyptic number.

It is an amenable number.

414224401 is a deficient number, since it is larger than the sum of its proper divisors (1).

414224401 is an equidigital number, since it uses as much as digits as its factorization.

414224401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 414224401 is about 20352.5035560739. The cubic root of 414224401 is about 745.4386264384.

Adding to 414224401 its reverse (104422414), we get a palindrome (518646815).

The spelling of 414224401 in words is "four hundred fourteen million, two hundred twenty-four thousand, four hundred one".