432160 has 48 divisors (see below), whose sum is σ = 1062936. Its totient is φ = 165888.

The previous prime is 432149. The next prime is 432161. The reversal of 432160 is 61234.

432160 = 38² + 39² + ... + 110².

432160 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 17424 = 644^2 + 132^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (432161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5884 + ... + 5956.

2⁴³²¹⁶⁰ is an apocalyptic number.

432160 is a gapful number since it is divisible by the number (40) 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 432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531468).

432160 is an abundant number, since it is smaller than the sum of its proper divisors (630776).

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

432160 is a wasteful number, since it uses less digits than its factorization.

432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 432160 is about 657.3887738622. The cubic root of 432160 is about 75.6045945903.

Adding to 432160 its reverse (61234), we get a palindrome (493394).

The spelling of 432160 in words is "four hundred thirty-two thousand, one hundred sixty".