4784416 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1797120.

The previous prime is 4784411. The next prime is 4784419. The reversal of 4784416 is 6144874.

It is a super-2 number, since 2×4784416² = 45781272922112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4784411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90246 + ... + 90298.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^4784416 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 4784416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4784416 is an abundant number, since it is smaller than the sum of its proper divisors (7408352).

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

4784416 is a wasteful number, since it uses less digits than its factorization.

4784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 4784416 is about 2187.3307934558. The cubic root of 4784416 is about 168.5037788221.

The spelling of 4784416 in words is "four million, seven hundred eighty-four thousand, four hundred sixteen".