4516824 has 64 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1342080.

The previous prime is 4516823. The next prime is 4516829. The reversal of 4516824 is 4286154.

4516824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4516791 and 4516800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9439 + ... + 9905.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^4516824 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 4516824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

4516824 is an abundant number, since it is smaller than the sum of its proper divisors (8063016).

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

4516824 is a wasteful number, since it uses less digits than its factorization.

4516824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 4516824 is about 2125.2820989224. The cubic root of 4516824 is about 165.3018533255.

The spelling of 4516824 in words is "four million, five hundred sixteen thousand, eight hundred twenty-four".