432530120 has 64 divisors (see below), whose sum is σ = 1086402240. Its totient is φ = 153619200.

The previous prime is 432530069. The next prime is 432530129. The reversal of 432530120 is 21035234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 432530092 and 432530101.

It is not an unprimeable number, because it can be changed into a prime (432530129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7490 + ... + 30350.

It is an arithmetic number, because the mean of its divisors is an integer number (16975035).

Almost surely, 2^432530120 is an apocalyptic number.

432530120 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 432530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543201120).

432530120 is an abundant number, since it is smaller than the sum of its proper divisors (653872120).

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

432530120 is a wasteful number, since it uses less digits than its factorization.

432530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22926 (or 22922 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 432530120 is about 20797.3584861155. The cubic root of 432530120 is about 756.2617208301.

Adding to 432530120 its reverse (21035234), we get a palindrome (453565354).

The spelling of 432530120 in words is "four hundred thirty-two million, five hundred thirty thousand, one hundred twenty".