214443936 has 240 divisors, whose sum is σ = 737662464. Its totient is φ = 59844096.

The previous prime is 214443871. The next prime is 214443947. The reversal of 214443936 is 639344412.

It is a happy number.

214443936 is a `hidden beast` number, since 214 + 4 + 439 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (62208) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 214443936.

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 39 ways as a sum of consecutive naturals, for example, 961521 + ... + 961743.

Almost surely, 2^214443936 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 214443936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368831232).

214443936 is an abundant number, since it is smaller than the sum of its proper divisors (523218528).

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

214443936 is a wasteful number, since it uses less digits than its factorization.

214443936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 214443936 is about 14643.9043973935. The cubic root of 214443936 is about 598.5557262450. Note that the first 3 decimals are identical.

The spelling of 214443936 in words is "two hundred fourteen million, four hundred forty-three thousand, nine hundred thirty-six".