432345 has 32 divisors (see below), whose sum is σ = 766080. Its totient is φ = 207360.

The previous prime is 432343. The next prime is 432349. The reversal of 432345 is 543234.

432345 = T₁₃₄ + T₁₃₅ + ... + T₁₇₀.

432345 = 1⁴ + 2⁴ + ... + 18⁴.

It is a happy number.

432345 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 432345 - 2¹ = 432343 is a prime.

It is a d-powerful number, because it can be written as 4² + 3⁵ + 3¹⁰ + 2¹⁵ + 4⁹ + 5⁷ .

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (432343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10525 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴³²³⁴⁵ is an apocalyptic number.

It is an amenable number.

432345 is a deficient number, since it is larger than the sum of its proper divisors (333735).

432345 is a wasteful number, since it uses less digits than its factorization.

432345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its digits is 1440, while the sum is 21.

The square root of 432345 is about 657.5294670203. The cubic root of 432345 is about 75.6153813780.

Adding to 432345 its reverse (543234), we get a palindrome (975579).

Subtracting 432345 from its reverse (543234), we obtain a square (110889 = 333²).

It can be divided in two parts, 432 and 345, that added together give a palindrome (777).

The spelling of 432345 in words is "four hundred thirty-two thousand, three hundred forty-five".