432567 has 16 divisors (see below), whose sum is σ = 659680. Its totient is φ = 279936.

The previous prime is 432559. The next prime is 432569. The reversal of 432567 is 765234.

It is a happy number.

432567 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 432567 - 2³ = 432559 is a prime.

It is a super-2 number, since 2×432567² = 374228418978, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 4⁸ + 3⁶ + 5⁷ + 2¹³ + 6⁷ + 7² .

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

It is a Duffinian number.

432567 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 432567.

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 432567.

It is not an unprimeable number, because it can be changed into a prime (432569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (41230).

2⁴³²⁵⁶⁷ is an apocalyptic number.

432567 is a deficient number, since it is larger than the sum of its proper divisors (227113).

432567 is a wasteful number, since it uses less digits than its factorization.

432567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 432567 is about 657.6982590824. The cubic root of 432567 is about 75.6283214624.

It can be divided in two parts, 432 and 567, that added together give a palindrome (999).

The spelling of 432567 in words is "four hundred thirty-two thousand, five hundred sixty-seven".