432100 has 36 divisors (see below), whose sum is σ = 976500. Its totient is φ = 165760.

The previous prime is 432097. The next prime is 432121. The reversal of 432100 is 1234.

It can be written as a sum of positive squares in 6 ways, for example, as 50176 + 381924 = 224^2 + 618^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2826 + ... + 2974.

It is an arithmetic number, because the mean of its divisors is an integer number (27125).

2⁴³²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488250).

432100 is an abundant number, since it is smaller than the sum of its proper divisors (544400).

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

432100 is a wasteful number, since it uses less digits than its factorization.

432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 432100 is about 657.3431371818. The cubic root of 432100 is about 75.6010955115.

Adding to 432100 its reverse (1234), we get a palindrome (433334).

The spelling of 432100 in words is "four hundred thirty-two thousand, one hundred".