432311712 has 192 divisors, whose sum is σ = 1395072000. Its totient is φ = 116847360.

The previous prime is 432311699. The next prime is 432311741. The reversal of 432311712 is 217113234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625287 + ... + 625977.

It is an arithmetic number, because the mean of its divisors is an integer number (7266000).

Almost surely, 2^432311712 is an apocalyptic number.

432311712 is a gapful number since it is divisible by the number (42) 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 432311712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697536000).

432311712 is an abundant number, since it is smaller than the sum of its proper divisors (962760288).

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

432311712 is a wasteful number, since it uses less digits than its factorization.

432311712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 722 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 432311712 is about 20792.1069639419. The cubic root of 432311712 is about 756.1344068298.

Adding to 432311712 its reverse (217113234), we get a palindrome (649424946).

The spelling of 432311712 in words is "four hundred thirty-two million, three hundred eleven thousand, seven hundred twelve".