414024 has 32 divisors (see below), whose sum is σ = 1115520. Its totient is φ = 127296.

The previous prime is 414019. The next prime is 414031. The reversal of 414024 is 420414.

It is a junction number, because it is equal to n+sod(n) for n = 413994 and 414012.

It is an unprimeable number.

414024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (34860).

2⁴¹⁴⁰²⁴ is an apocalyptic number.

It is an amenable number.

414024 is an abundant number, since it is smaller than the sum of its proper divisors (701496).

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

414024 is a wasteful number, since it uses less digits than its factorization.

414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 414024 is about 643.4469675117. The cubic root of 414024 is about 74.5318393103.

Adding to 414024 its reverse (420414), we get a palindrome (834438).

It can be divided in two parts, 4 and 14024, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 414024 in words is "four hundred fourteen thousand, twenty-four", and thus it is an iban number.