414216 has 48 divisors (see below), whose sum is σ = 1226160. Its totient is φ = 125280.

The previous prime is 414209. The next prime is 414217. The reversal of 414216 is 612414.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (414217) by changing a digit.

414216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (25545).

2⁴¹⁴²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613080).

414216 is an abundant number, since it is smaller than the sum of its proper divisors (811944).

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

414216 is a wasteful number, since it uses less digits than its factorization.

414216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 414216 is about 643.5961466634. The cubic root of 414216 is about 74.5433586922.

It can be divided in two parts, 414 and 216, that added together give a triangular number (630 = T₃₅).

The spelling of 414216 in words is "four hundred fourteen thousand, two hundred sixteen".