432224320 has 224 divisors, whose sum is σ = 1232464896. Its totient is φ = 142540800.

The previous prime is 432224291. The next prime is 432224327. The reversal of 432224320 is 23422234.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 432224291 and 432224300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432224327) 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 31 ways as a sum of consecutive naturals, for example, 1854924 + ... + 1855156.

Almost surely, 2^432224320 is an apocalyptic number.

432224320 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 432224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616232448).

432224320 is an abundant number, since it is smaller than the sum of its proper divisors (800240576).

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

432224320 is a wasteful number, since it uses less digits than its factorization.

432224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 432224320 is about 20790.0052910046. The cubic root of 432224320 is about 756.0834524302.

Adding to 432224320 its reverse (23422234), we get a palindrome (455646554).

The spelling of 432224320 in words is "four hundred thirty-two million, two hundred twenty-four thousand, three hundred twenty".