432813072 has 40 divisors (see below), whose sum is σ = 1154172160. Its totient is φ = 139616640.

The previous prime is 432813071. The next prime is 432813109. The reversal of 432813072 is 270318234.

It is not an unprimeable number, because it can be changed into a prime (432813071) 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 7 ways as a sum of consecutive naturals, for example, 143947 + ... + 146922.

It is an arithmetic number, because the mean of its divisors is an integer number (28854304).

Almost surely, 2^432813072 is an apocalyptic number.

It is an amenable number.

432813072 is an abundant number, since it is smaller than the sum of its proper divisors (721359088).

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

432813072 is a wasteful number, since it uses less digits than its factorization.

432813072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290911 (or 290905 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 432813072 is about 20804.1599686217. The cubic root of 432813072 is about 756.4265949910.

The spelling of 432813072 in words is "four hundred thirty-two million, eight hundred thirteen thousand, seventy-two".