432900 has 108 divisors (see below), whose sum is σ = 1500772. Its totient is φ = 103680.

The previous prime is 432893. The next prime is 432907. The reversal of 432900 is 9234.

It is an interprime number because it is at equal distance from previous prime (432893) and next prime (432907).

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 427716 = 72^2 + 654^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (432907) by changing a digit.

432900 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 35 ways as a sum of consecutive naturals, for example, 11682 + ... + 11718.

2⁴³²⁹⁰⁰ 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 432900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750386).

432900 is an abundant number, since it is smaller than the sum of its proper divisors (1067872).

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

432900 is a wasteful number, since it uses less digits than its factorization.

432900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 432900 is about 657.9513659838. The cubic root of 432900 is about 75.6477232902.

The spelling of 432900 in words is "four hundred thirty-two thousand, nine hundred".