48432 has 20 divisors (see below), whose sum is σ = 125240. Its totient is φ = 16128.

The previous prime is 48413. The next prime is 48437. The reversal of 48432 is 23484.

It is a happy number.

48432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

48432 is a modest number, since divided by 432 gives 48 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 48399 and 48408.

It is not an unprimeable number, because it can be changed into a prime (48437) by changing a digit.

48432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (6262).

2⁴⁸⁴³² is an apocalyptic number.

It is an amenable number.

48432 is an abundant number, since it is smaller than the sum of its proper divisors (76808).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62620).

48432 is a wasteful number, since it uses less digits than its factorization.

48432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 48432 is about 220.0727152557. The cubic root of 48432 is about 36.4511136362.

It can be divided in two parts, 48 and 432, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 48432 in words is "forty-eight thousand, four hundred thirty-two".