214414416 has 30 divisors (see below), whose sum is σ = 600062970. Its totient is φ = 71471424.

The previous prime is 214414397. The next prime is 214414433. The reversal of 214414416 is 614414412.

214414416 is a `hidden beast` number, since 214 + 4 + 1 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156350016 + 58064400 = 12504^2 + 7620^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 214414416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 744351 + ... + 744638.

It is an arithmetic number, because the mean of its divisors is an integer number (20002099).

Almost surely, 2^214414416 is an apocalyptic number.

It is an amenable number.

214414416 is an abundant number, since it is smaller than the sum of its proper divisors (385648554).

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

214414416 is a wasteful number, since it uses less digits than its factorization.

214414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489003 (or 1488994 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 214414416 is about 14642.8964347905. The cubic root of 214414416 is about 598.5282595853.

Adding to 214414416 its reverse (614414412), we get a palindrome (828828828).

The spelling of 214414416 in words is "two hundred fourteen million, four hundred fourteen thousand, four hundred sixteen".