414431 has 2 divisors, whose sum is σ = 414432. Its totient is φ = 414430.

The previous prime is 414413. The next prime is 414433. The reversal of 414431 is 134414.

Together with previous prime (414413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414431 - 2⁶ = 414367 is a prime.

It is a super-2 number, since 2×414431² = 343506107522, which contains 22 as substring.

Together with 414433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207215 + 207216.

It is an arithmetic number, because the mean of its divisors is an integer number (207216).

2⁴¹⁴⁴³¹ is an apocalyptic number.

414431 is a deficient number, since it is larger than the sum of its proper divisors (1).

414431 is an equidigital number, since it uses as much as digits as its factorization.

414431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 192, while the sum is 17.

The square root of 414431 is about 643.7631552054. The cubic root of 414431 is about 74.5562537759.

Subtracting from 414431 its sum of digits (17), we obtain a palindrome (414414).

Adding to 414431 its reverse (134414), we get a palindrome (548845).

The spelling of 414431 in words is "four hundred fourteen thousand, four hundred thirty-one".