432088065 has 48 divisors (see below), whose sum is σ = 808046928. Its totient is φ = 212779008.

The previous prime is 432088057. The next prime is 432088073. The reversal of 432088065 is 560880234.

It is an interprime number because it is at equal distance from previous prime (432088057) and next prime (432088073).

It can be written as a sum of positive squares in 8 ways, for example, as 3101121 + 428986944 = 1761^2 + 20712^2 .

It is not a de Polignac number, because 432088065 - 2³ = 432088057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35217 + ... + 45873.

It is an arithmetic number, because the mean of its divisors is an integer number (16834311).

Almost surely, 2^432088065 is an apocalyptic number.

432088065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432088065 is a deficient number, since it is larger than the sum of its proper divisors (375958863).

432088065 is a wasteful number, since it uses less digits than its factorization.

432088065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 432088065 is about 20786.7280975145. The cubic root of 432088065 is about 756.0039944779.

The spelling of 432088065 in words is "four hundred thirty-two million, eighty-eight thousand, sixty-five".