432530560 has 256 divisors, whose sum is σ = 1318394880. Its totient is φ = 131788800.

The previous prime is 432530557. The next prime is 432530599. The reversal of 432530560 is 65035234.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3301695 + ... + 3301825.

It is an arithmetic number, because the mean of its divisors is an integer number (5149980).

Almost surely, 2^432530560 is an apocalyptic number.

432530560 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 432530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659197440).

432530560 is an abundant number, since it is smaller than the sum of its proper divisors (885864320).

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

432530560 is a wasteful number, since it uses less digits than its factorization.

432530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 432530560 is about 20797.3690643793. The cubic root of 432530560 is about 756.2619772709.

Adding to 432530560 its reverse (65035234), we get a palindrome (497565794).

The spelling of 432530560 in words is "four hundred thirty-two million, five hundred thirty thousand, five hundred sixty".