4682832 has 120 divisors (see below), whose sum is σ = 15436512. Its totient is φ = 1209600.

The previous prime is 4682807. The next prime is 4682849. The reversal of 4682832 is 2382864.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4682793 and 4682802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25782 + ... + 25962.

Almost surely, 2^4682832 is an apocalyptic number.

4682832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

4682832 is an abundant number, since it is smaller than the sum of its proper divisors (10753680).

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

4682832 is a wasteful number, since it uses less digits than its factorization.

4682832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4682832 is about 2163.9852125188. The cubic root of 4682832 is about 167.3026650603.

Subtracting from 4682832 its reverse (2382864), we obtain a cube (2299968 = 132³).

The spelling of 4682832 in words is "four million, six hundred eighty-two thousand, eight hundred thirty-two".