4653824 has 72 divisors (see below), whose sum is σ = 11037600. Its totient is φ = 1956864.

The previous prime is 4653793. The next prime is 4653827. The reversal of 4653824 is 4283564.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁴ + 6⁷ + 5³ + 3¹¹ + 8 + 2¹¹ + 4¹¹ .

Its product of digits (23040) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4653827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87782 + ... + 87834.

It is an arithmetic number, because the mean of its divisors is an integer number (153300).

Almost surely, 2^4653824 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 4653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518800).

4653824 is an abundant number, since it is smaller than the sum of its proper divisors (6383776).

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

4653824 is an frugal number, since it uses more digits than its factorization.

4653824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 4653824 is about 2157.2723518369. The cubic root of 4653824 is about 166.9564948168.

The spelling of 4653824 in words is "four million, six hundred fifty-three thousand, eight hundred twenty-four".