414684 has 18 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 138216.

The previous prime is 414683. The next prime is 414691. The reversal of 414684 is 486414.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414683) 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, 5724 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (58240).

2⁴¹⁴⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

414684 is an abundant number, since it is smaller than the sum of its proper divisors (633636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414684 is a wasteful number, since it uses less digits than its factorization.

414684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529 (or 11524 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 414684 is about 643.9596260636. The cubic root of 414684 is about 74.5714222801.

The spelling of 414684 in words is "four hundred fourteen thousand, six hundred eighty-four".