416349 has 6 divisors (see below), whose sum is σ = 601406. Its totient is φ = 277560.

The previous prime is 416333. The next prime is 416359. The reversal of 416349 is 943614.

It can be written as a sum of positive squares in only one way, i.e., 416025 + 324 = 645^2 + 18^2 .

It is not a de Polignac number, because 416349 - 2⁴ = 416333 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

416349 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 416349.

It is not an unprimeable number, because it can be changed into a prime (416359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23122 + ... + 23139.

2⁴¹⁶³⁴⁹ is an apocalyptic number.

It is an amenable number.

416349 is a deficient number, since it is larger than the sum of its proper divisors (185057).

416349 is a wasteful number, since it uses less digits than its factorization.

416349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46267 (or 46264 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 416349 is about 645.2511139084. The cubic root of 416349 is about 74.6710930447.

The spelling of 416349 in words is "four hundred sixteen thousand, three hundred forty-nine".