4784832 has 140 divisors (see below), whose sum is σ = 15489936. Its totient is φ = 1451520.

The previous prime is 4784821. The next prime is 4784833. The reversal of 4784832 is 2384874.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4³ + 7 + 8³ + 4⁴ + 8³ + 3¹⁴ + 2⁹ .

It is not an unprimeable number, because it can be changed into a prime (4784833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67357 + ... + 67427.

Almost surely, 2^4784832 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 4784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744968).

4784832 is an abundant number, since it is smaller than the sum of its proper divisors (10705104).

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

4784832 is a wasteful number, since it uses less digits than its factorization.

4784832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4784832 is about 2187.4258844587. The cubic root of 4784832 is about 168.5086624233.

The spelling of 4784832 in words is "four million, seven hundred eighty-four thousand, eight hundred thirty-two".