414857 has 2 divisors, whose sum is σ = 414858. Its totient is φ = 414856.

The previous prime is 414833. The next prime is 414871. The reversal of 414857 is 758414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 121 = 644^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 414857 - 2⁶ = 414793 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207428 + 207429.

It is an arithmetic number, because the mean of its divisors is an integer number (207429).

2⁴¹⁴⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

414857 is a deficient number, since it is larger than the sum of its proper divisors (1).

414857 is an equidigital number, since it uses as much as digits as its factorization.

414857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4480, while the sum is 29.

The square root of 414857 is about 644.0939372483. The cubic root of 414857 is about 74.5817908680.

The spelling of 414857 in words is "four hundred fourteen thousand, eight hundred fifty-seven".