414509 has 4 divisors (see below), whose sum is σ = 417216. Its totient is φ = 411804.

The previous prime is 414503. The next prime is 414521. The reversal of 414509 is 905414.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 414509 - 2¹² = 410413 is a prime.

It is a super-2 number, since 2×414509² = 343635422162, which contains 22 as substring.

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 (414503) 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, 1109 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (104304).

2⁴¹⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

414509 is a deficient number, since it is larger than the sum of its proper divisors (2707).

414509 is a wasteful number, since it uses less digits than its factorization.

414509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 414509 is about 643.8237336414. The cubic root of 414509 is about 74.5609308898.

The spelling of 414509 in words is "four hundred fourteen thousand, five hundred nine".