432332992 has 112 divisors (see below), whose sum is σ = 1111747840. Its totient is φ = 161989632.

The previous prime is 432332981. The next prime is 432333007. The reversal of 432332992 is 299233234.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 108703 + ... + 112609.

It is an arithmetic number, because the mean of its divisors is an integer number (9926320).

Almost surely, 2^432332992 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 432332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555873920).

432332992 is an abundant number, since it is smaller than the sum of its proper divisors (679414848).

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

432332992 is a wasteful number, since it uses less digits than its factorization.

432332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3948 counting only the distinct ones).

The product of its digits is 69984, while the sum is 37.

The square root of 432332992 is about 20792.6186902949. The cubic root of 432332992 is about 756.1468132145.

It can be divided in two parts, 43233 and 2992, that added together give a square (46225 = 215²).

The spelling of 432332992 in words is "four hundred thirty-two million, three hundred thirty-two thousand, nine hundred ninety-two".