432468 has 36 divisors (see below), whose sum is σ = 1123668. Its totient is φ = 140160.

The previous prime is 432457. The next prime is 432479. The reversal of 432468 is 864234.

It is an interprime number because it is at equal distance from previous prime (432457) and next prime (432479).

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 219024 = 462^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432468.

It is an unprimeable number.

432468 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 11 ways as a sum of consecutive naturals, for example, 1330 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (31213).

2⁴³²⁴⁶⁸ 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 432468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561834).

432468 is an abundant number, since it is smaller than the sum of its proper divisors (691200).

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

432468 is a wasteful number, since it uses less digits than its factorization.

432468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

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

The square root of 432468 is about 657.6229922988. The cubic root of 432468 is about 75.6225514313.

It can be divided in two parts, 432 and 468, that added together give a square (900 = 30²).

The spelling of 432468 in words is "four hundred thirty-two thousand, four hundred sixty-eight".