432342240 has 96 divisors (see below), whose sum is σ = 1485703296. Its totient is φ = 104808960.

The previous prime is 432342233. The next prime is 432342241. The reversal of 432342240 is 42243234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 432342240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432342241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35662 + ... + 46221.

It is an arithmetic number, because the mean of its divisors is an integer number (15476076).

Almost surely, 2^432342240 is an apocalyptic number.

432342240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432342240 is an abundant number, since it is smaller than the sum of its proper divisors (1053361056).

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

432342240 is a wasteful number, since it uses less digits than its factorization.

432342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81912 (or 81904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 432342240 is about 20792.8410757164. The cubic root of 432342240 is about 756.1522047345.

Adding to 432342240 its reverse (42243234), we get a palindrome (474585474).

The spelling of 432342240 in words is "four hundred thirty-two million, three hundred forty-two thousand, two hundred forty".