414222401 has 16 divisors (see below), whose sum is σ = 445737600. Its totient is φ = 383730048.

The previous prime is 414222383. The next prime is 414222407. The reversal of 414222401 is 104222414.

It is a cyclic number.

It is not a de Polignac number, because 414222401 - 2¹⁴ = 414206017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414222407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441605 + ... + 442541.

It is an arithmetic number, because the mean of its divisors is an integer number (27858600).

Almost surely, 2^414222401 is an apocalyptic number.

It is an amenable number.

414222401 is a deficient number, since it is larger than the sum of its proper divisors (31515199).

414222401 is a wasteful number, since it uses less digits than its factorization.

414222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 414222401 is about 20352.4544220101. The cubic root of 414222401 is about 745.4374267025.

Adding to 414222401 its reverse (104222414), we get a palindrome (518444815).

The spelling of 414222401 in words is "four hundred fourteen million, two hundred twenty-two thousand, four hundred one".