432007275 has 144 divisors (see below), whose sum is σ = 916012800. Its totient is φ = 178295040.

The previous prime is 432007273. The next prime is 432007297. The reversal of 432007275 is 572700234.

It is not a de Polignac number, because 432007275 - 2¹ = 432007273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432007271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1605841 + ... + 1606109.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^432007275 is an apocalyptic number.

432007275 is an abundant number, since it is smaller than the sum of its proper divisors (484005525).

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

432007275 is a wasteful number, since it uses less digits than its factorization.

432007275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 432007275 is about 20784.7846993901. The cubic root of 432007275 is about 755.9568733972.

The spelling of 432007275 in words is "four hundred thirty-two million, seven thousand, two hundred seventy-five".