432266112 has 256 divisors, whose sum is σ = 1395360000. Its totient is φ = 131217408.

The previous prime is 432266101. The next prime is 432266113. The reversal of 432266112 is 211662234.

432266112 is a `hidden beast` number, since 43 + 2 + 2 + 6 + 611 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432266113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904143 + ... + 1904369.

It is an arithmetic number, because the mean of its divisors is an integer number (5450625).

Almost surely, 2^432266112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).

432266112 is an abundant number, since it is smaller than the sum of its proper divisors (963093888).

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

432266112 is a wasteful number, since it uses less digits than its factorization.

432266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 432266112 is about 20791.0103650592. The cubic root of 432266112 is about 756.1078203489.

The spelling of 432266112 in words is "four hundred thirty-two million, two hundred sixty-six thousand, one hundred twelve".