432444012 has 288 divisors, whose sum is σ = 1426440960. Its totient is φ = 100154880.

The previous prime is 432444007. The next prime is 432444071. The reversal of 432444012 is 210444234.

It is a happy number.

It is a super-2 number, since 2×432444012² = 374015647029312288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3111039 + ... + 3111177.

It is an arithmetic number, because the mean of its divisors is an integer number (4952920).

Almost surely, 2^432444012 is an apocalyptic number.

432444012 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 432444012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713220480).

432444012 is an abundant number, since it is smaller than the sum of its proper divisors (993996948).

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

432444012 is a wasteful number, since it uses less digits than its factorization.

432444012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 432444012 is about 20795.2882163244. The cubic root of 432444012 is about 756.2115320278.

Adding to 432444012 its reverse (210444234), we get a palindrome (642888246).

It can be divided in two parts, 432 and 444012, that added together give a palindrome (444444).

The spelling of 432444012 in words is "four hundred thirty-two million, four hundred forty-four thousand, twelve".