432411012 has 72 divisors (see below), whose sum is σ = 1198858752. Its totient is φ = 130324800.

The previous prime is 432411011. The next prime is 432411013. The reversal of 432411012 is 210114234.

It is an interprime number because it is at equal distance from previous prime (432411011) and next prime (432411013).

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

It is not an unprimeable number, because it can be changed into a prime (432411011) 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, 72778 + ... + 78494.

It is an arithmetic number, because the mean of its divisors is an integer number (16650816).

Almost surely, 2^432411012 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 432411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599429376).

432411012 is an abundant number, since it is smaller than the sum of its proper divisors (766447740).

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

432411012 is a wasteful number, since it uses less digits than its factorization.

432411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 432411012 is about 20794.4947522175. The cubic root of 432411012 is about 756.1922959227.

Adding to 432411012 its reverse (210114234), we get a palindrome (642525246).

It can be divided in two parts, 43241 and 1012, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 432411012 in words is "four hundred thirty-two million, four hundred eleven thousand, twelve".