414893 has 2 divisors, whose sum is σ = 414894. Its totient is φ = 414892.

The previous prime is 414889. The next prime is 414899. The reversal of 414893 is 398414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413449 + 1444 = 643^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 414893 - 2² = 414889 is a prime.

It is a super-3 number, since 3×414893³ = 214254315083339871, which contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207446 + 207447.

It is an arithmetic number, because the mean of its divisors is an integer number (207447).

2⁴¹⁴⁸⁹³ is an apocalyptic number.

It is an amenable number.

414893 is a deficient number, since it is larger than the sum of its proper divisors (1).

414893 is an equidigital number, since it uses as much as digits as its factorization.

414893 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 29.

The square root of 414893 is about 644.1218828762. The cubic root of 414893 is about 74.5839481308.

The spelling of 414893 in words is "four hundred fourteen thousand, eight hundred ninety-three".