414909 has 24 divisors (see below), whose sum is σ = 680960. Its totient is φ = 249480.

The previous prime is 414899. The next prime is 414913. The reversal of 414909 is 909414.

It is not a de Polignac number, because 414909 - 2⁴ = 414893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414929) 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 23 ways as a sum of consecutive naturals, for example, 3204 + ... + 3330.

2⁴¹⁴⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

414909 is a deficient number, since it is larger than the sum of its proper divisors (266051).

414909 is a wasteful number, since it uses less digits than its factorization.

414909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 414909 is about 644.1343027661. The cubic root of 414909 is about 74.5849068743.

It can be divided in two parts, 41 and 4909, that added together give a triangular number (4950 = T₉₉).

The spelling of 414909 in words is "four hundred fourteen thousand, nine hundred nine".