432106560 has 168 divisors, whose sum is σ = 1512051840. Its totient is φ = 113230848.

The previous prime is 432106559. The next prime is 432106567. The reversal of 432106560 is 65601234.

432106560 is a `hidden beast` number, since 4 + 3 + 2 + 1 + 0 + 656 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (432106567) 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 23 ways as a sum of consecutive naturals, for example, 168649 + ... + 171191.

Almost surely, 2^432106560 is an apocalyptic number.

432106560 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 432106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756025920).

432106560 is an abundant number, since it is smaller than the sum of its proper divisors (1079945280).

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

432106560 is a wasteful number, since it uses less digits than its factorization.

432106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 432106560 is about 20787.1729679627. The cubic root of 432106560 is about 756.0147809321.

Adding to 432106560 its reverse (65601234), we get a palindrome (497707794).

It can be divided in two parts, 43210 and 6560, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 432106560 in words is "four hundred thirty-two million, one hundred six thousand, five hundred sixty".