414629 has 2 divisors, whose sum is σ = 414630. Its totient is φ = 414628.

The previous prime is 414611. The next prime is 414641. The reversal of 414629 is 926414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277729 + 136900 = 527^2 + 370^2 .

It is a cyclic number.

It is not a de Polignac number, because 414629 - 2¹⁶ = 349093 is a prime.

It is a Chen prime.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 414598 and 414607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414679) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207314 + 207315.

It is an arithmetic number, because the mean of its divisors is an integer number (207315).

2⁴¹⁴⁶²⁹ is an apocalyptic number.

It is an amenable number.

414629 is a deficient number, since it is larger than the sum of its proper divisors (1).

414629 is an equidigital number, since it uses as much as digits as its factorization.

414629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 26.

The square root of 414629 is about 643.9169201069. The cubic root of 414629 is about 74.5681253041.

The spelling of 414629 in words is "four hundred fourteen thousand, six hundred twenty-nine".