216414 has 24 divisors (see below), whose sum is σ = 511992. Its totient is φ = 65520.

The previous prime is 216401. The next prime is 216421. The reversal of 216414 is 414612.

216414 is a `hidden beast` number, since 21 + 641 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (21333).

2²¹⁶⁴¹⁴ is an apocalyptic number.

216414 is an abundant number, since it is smaller than the sum of its proper divisors (295578).

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

216414 is a wasteful number, since it uses less digits than its factorization.

216414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1109 counting only the distinct ones).

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

The square root of 216414 is about 465.2031814165. The cubic root of 216414 is about 60.0383088686.

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

The spelling of 216414 in words is "two hundred sixteen thousand, four hundred fourteen".