416509 has 4 divisors (see below), whose sum is σ = 427804. Its totient is φ = 405216.

The previous prime is 416503. The next prime is 416513. The reversal of 416509 is 905614.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 905614 = 2 ⋅452807.

It can be written as a sum of positive squares in 2 ways, for example, as 363609 + 52900 = 603^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 416509 - 2³ = 416501 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5592 + ... + 5665.

It is an arithmetic number, because the mean of its divisors is an integer number (106951).

2⁴¹⁶⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

416509 is a deficient number, since it is larger than the sum of its proper divisors (11295).

416509 is a wasteful number, since it uses less digits than its factorization.

416509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 416509 is about 645.3750847376. The cubic root of 416509 is about 74.6806570121.

The spelling of 416509 in words is "four hundred sixteen thousand, five hundred nine".