414018 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 115200.

The previous prime is 414017. The next prime is 414019. The reversal of 414018 is 810414.

It is an interprime number because it is at equal distance from previous prime (414017) and next prime (414019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10078 + ... + 10118.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁴¹⁴⁰¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

414018 is an abundant number, since it is smaller than the sum of its proper divisors (674622).

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

414018 is a wasteful number, since it uses less digits than its factorization.

414018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414018 is about 643.4423051059. The cubic root of 414018 is about 74.5314792723.

The spelling of 414018 in words is "four hundred fourteen thousand, eighteen".