432564 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 125440.

The previous prime is 432559. The next prime is 432569. The reversal of 432564 is 465234.

It is an interprime number because it is at equal distance from previous prime (432559) and next prime (432569).

It is a super-2 number, since 2×432564² = 374223228192, which contains 22 as substring.

Its product of digits (2880) is a multiple of the sum of its prime factors (160).

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 432564.

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

432564 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 15 ways as a sum of consecutive naturals, for example, 3772 + ... + 3884.

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

2⁴³²⁵⁶⁴ is an apocalyptic number.

432564 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 432564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

432564 is an abundant number, since it is smaller than the sum of its proper divisors (716556).

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

432564 is a wasteful number, since it uses less digits than its factorization.

432564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 432564 is about 657.6959783973. The cubic root of 432564 is about 75.6281466259.

Adding to 432564 its reverse (465234), we get a palindrome (897798).

The spelling of 432564 in words is "four hundred thirty-two thousand, five hundred sixty-four".