432738 has 24 divisors (see below), whose sum is σ = 971100. Its totient is φ = 139104.

The previous prime is 432737. The next prime is 432743. The reversal of 432738 is 837234.

It can be written as a sum of positive squares in 2 ways, for example, as 431649 + 1089 = 657^2 + 33^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432738.

It is not an unprimeable number, because it can be changed into a prime (432737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108 + ... + 936.

2⁴³²⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485550).

432738 is an abundant number, since it is smaller than the sum of its proper divisors (538362).

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

432738 is a wasteful number, since it uses less digits than its factorization.

432738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 432738 is about 657.8282450610. The cubic root of 432738 is about 75.6382858064.

Subtracting 432738 from its reverse (837234), we obtain a square (404496 = 636²).

The spelling of 432738 in words is "four hundred thirty-two thousand, seven hundred thirty-eight".