4214784 has 104 divisors (see below), whose sum is σ = 13105600. Its totient is φ = 1204224.

The previous prime is 4214779. The next prime is 4214807. The reversal of 4214784 is 4874124.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=112.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602109 + ... + 602115.

Almost surely, 2^4214784 is an apocalyptic number.

4214784 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552800).

4214784 is an abundant number, since it is smaller than the sum of its proper divisors (8890816).

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

4214784 is an frugal number, since it uses more digits than its factorization.

4214784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 4214784 is about 2052.9939113402. The cubic root of 4214784 is about 161.5319518744.

The spelling of 4214784 in words is "four million, two hundred fourteen thousand, seven hundred eighty-four".