414918 has 48 divisors (see below), whose sum is σ = 1067040. Its totient is φ = 114048.

The previous prime is 414913. The next prime is 414923. The reversal of 414918 is 819414.

It is an interprime number because it is at equal distance from previous prime (414913) and next prime (414923).

It is a junction number, because it is equal to n+sod(n) for n = 414891 and 414900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4618 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2⁴¹⁴⁹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533520).

414918 is an abundant number, since it is smaller than the sum of its proper divisors (652122).

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

414918 is a wasteful number, since it uses less digits than its factorization.

414918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 414918 is about 644.1412888490. The cubic root of 414918 is about 74.5854461566.

Subtracting 414918 from its reverse (819414), we obtain a square (404496 = 636²).

The spelling of 414918 in words is "four hundred fourteen thousand, nine hundred eighteen".