918414 has 48 divisors (see below), whose sum is σ = 2347488. Its totient is φ = 254016.

The previous prime is 918397. The next prime is 918431. The reversal of 918414 is 414819.

918414 = T₂₄₂ + T₂₄₃ + ... + T₂₆₉.

It is an interprime number because it is at equal distance from previous prime (918397) and next prime (918431).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 918414.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4564 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (48906).

2⁹¹⁸⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173744).

918414 is an abundant number, since it is smaller than the sum of its proper divisors (1429074).

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

918414 is a wasteful number, since it uses less digits than its factorization.

918414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

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

The square root of 918414 is about 958.3391883879. The cubic root of 918414 is about 97.2029618566.

The spelling of 918414 in words is "nine hundred eighteen thousand, four hundred fourteen".