432200160 has 288 divisors, whose sum is σ = 1719506880. Its totient is φ = 96804864.

The previous prime is 432200149. The next prime is 432200161. The reversal of 432200160 is 61002234.

It is a happy number.

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

It is a super-4 number, since 4×432200160⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432200161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533836 + ... + 534644.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^432200160 is an apocalyptic number.

432200160 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 432200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859753440).

432200160 is an abundant number, since it is smaller than the sum of its proper divisors (1287306720).

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

432200160 is a wasteful number, since it uses less digits than its factorization.

432200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 432200160 is about 20789.4242344515. The cubic root of 432200160 is about 756.0693645937.

Adding to 432200160 its reverse (61002234), we get a palindrome (493202394).

The spelling of 432200160 in words is "four hundred thirty-two million, two hundred thousand, one hundred sixty".