432648 has 32 divisors (see below), whose sum is σ = 1202400. Its totient is φ = 144144.

The previous prime is 432637. The next prime is 432659. The reversal of 432648 is 846234.

432648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (432637) and next prime (432659).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

432648 is a modest number, since divided by 648 gives 432 as remainder.

It is an unprimeable number.

432648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (37575).

2⁴³²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

432648 is an abundant number, since it is smaller than the sum of its proper divisors (769752).

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

432648 is a wasteful number, since it uses less digits than its factorization.

432648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2008 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 432648 is about 657.7598345901. The cubic root of 432648 is about 75.6330417421.

It can be divided in two parts, 432 and 648, that multiplied together give a 7-th power (279936 = 6⁷).

The spelling of 432648 in words is "four hundred thirty-two thousand, six hundred forty-eight".