432124 has 48 divisors (see below), whose sum is σ = 999936. Its totient is φ = 158400.

The previous prime is 432121. The next prime is 432137. The reversal of 432124 is 421234.

It is a junction number, because it is equal to n+sod(n) for n = 432098 and 432107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054 + ... + 7114.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁴³²¹²⁴ is an apocalyptic number.

432124 is a gapful number since it is divisible by the number (44) 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 432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

432124 is an abundant number, since it is smaller than the sum of its proper divisors (567812).

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

432124 is a wasteful number, since it uses less digits than its factorization.

432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 432124 is about 657.3613922341. The cubic root of 432124 is about 75.6024951819.

Adding to 432124 its reverse (421234), we get a palindrome (853358).

The spelling of 432124 in words is "four hundred thirty-two thousand, one hundred twenty-four".