432240000 has 160 divisors (see below), whose sum is σ = 1435509240. Its totient is φ = 115200000.

The previous prime is 432239971. The next prime is 432240001. The reversal of 432240000 is 42234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239100 + ... + 240900.

Almost surely, 2^432240000 is an apocalyptic number.

432240000 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 432240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717754620).

432240000 is an abundant number, since it is smaller than the sum of its proper divisors (1003269240).

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

432240000 is an equidigital number, since it uses as much as digits as its factorization.

432240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 432240000 is about 20790.3823918657. The cubic root of 432240000 is about 756.0925952484.

Adding to 432240000 its reverse (42234), we get a palindrome (432282234).

The spelling of 432240000 in words is "four hundred thirty-two million, two hundred forty thousand".