432340000 has 60 divisors (see below), whose sum is σ = 1063670454. Its totient is φ = 172928000.

The previous prime is 432339997. The next prime is 432340009. The reversal of 432340000 is 43234.

It can be written as a sum of positive squares in 5 ways, for example, as 1860496 + 430479504 = 1364^2 + 20748^2 .

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 (432340009) 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 9 ways as a sum of consecutive naturals, for example, 9192 + ... + 30808.

Almost surely, 2^432340000 is an apocalyptic number.

432340000 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 432340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531835227).

432340000 is an abundant number, since it is smaller than the sum of its proper divisors (631330454).

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

432340000 is an equidigital number, since it uses as much as digits as its factorization.

432340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21647 (or 21624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 432340000 is about 20792.7872109537. The cubic root of 432340000 is about 756.1508988370.

Adding to 432340000 its reverse (43234), we get a palindrome (432383234).

Multiplying 432340000 by its reverse (43234), we get a square (18691787560000 = 4323400²).

432340000 divided by its reverse (43234) gives a 4-th power (10000 = 10⁴).

The spelling of 432340000 in words is "four hundred thirty-two million, three hundred forty thousand".