417349 has 4 divisors (see below), whose sum is σ = 420300. Its totient is φ = 414400.

The previous prime is 417337. The next prime is 417371. The reversal of 417349 is 943714.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 122500 + 294849 = 350^2 + 543^2 .

It is a cyclic number.

It is not a de Polignac number, because 417349 - 2⁵ = 417317 is a prime.

It is a Duffinian number.

417349 is a lucky number.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1252 + ... + 1549.

It is an arithmetic number, because the mean of its divisors is an integer number (105075).

2⁴¹⁷³⁴⁹ is an apocalyptic number.

It is an amenable number.

417349 is a deficient number, since it is larger than the sum of its proper divisors (2951).

417349 is a wasteful number, since it uses less digits than its factorization.

417349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950.

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

The square root of 417349 is about 646.0255412907. The cubic root of 417349 is about 74.7308276986.

It can be divided in two parts, 4 and 17349, that multiplied together give a palindrome (69396).

The spelling of 417349 in words is "four hundred seventeen thousand, three hundred forty-nine".