417493 has 2 divisors, whose sum is σ = 417494. Its totient is φ = 417492.

The previous prime is 417491. The next prime is 417509. The reversal of 417493 is 394714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 5329 = 642^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 417493 - 2¹ = 417491 is a prime.

Together with 417491, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208746 + 208747.

It is an arithmetic number, because the mean of its divisors is an integer number (208747).

2⁴¹⁷⁴⁹³ is an apocalyptic number.

It is an amenable number.

417493 is a deficient number, since it is larger than the sum of its proper divisors (1).

417493 is an equidigital number, since it uses as much as digits as its factorization.

417493 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

The square root of 417493 is about 646.1369823807. The cubic root of 417493 is about 74.7394216266.

The spelling of 417493 in words is "four hundred seventeen thousand, four hundred ninety-three".