432123552 has 288 divisors, whose sum is σ = 1499601600. Its totient is φ = 120669696.

The previous prime is 432123541. The next prime is 432123553. The reversal of 432123552 is 255321234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (432123553) 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 47 ways as a sum of consecutive naturals, for example, 2497738 + ... + 2497910.

It is an arithmetic number, because the mean of its divisors is an integer number (5206950).

Almost surely, 2^432123552 is an apocalyptic number.

432123552 is a gapful number since it is divisible by the number (42) 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 432123552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749800800).

432123552 is an abundant number, since it is smaller than the sum of its proper divisors (1067478048).

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

432123552 is a wasteful number, since it uses less digits than its factorization.

432123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 432123552 is about 20787.5816775305. The cubic root of 432123552 is about 756.0246905516.

Adding to 432123552 its reverse (255321234), we get a palindrome (687444786).

It can be divided in two parts, 43212 and 3552, that added together give a palindrome (46764).

The spelling of 432123552 in words is "four hundred thirty-two million, one hundred twenty-three thousand, five hundred fifty-two".