432813105 has 64 divisors (see below), whose sum is σ = 790352640. Its totient is φ = 224640000.

The previous prime is 432813071. The next prime is 432813109. The reversal of 432813105 is 501318234.

It is a happy number.

It is not a de Polignac number, because 432813105 - 2⁹ = 432812593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (432813109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1724230 + ... + 1724480.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2^432813105 is an apocalyptic number.

432813105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432813105 is a deficient number, since it is larger than the sum of its proper divisors (357539535).

432813105 is a wasteful number, since it uses less digits than its factorization.

432813105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 432813105 is about 20804.1607617323. The cubic root of 432813105 is about 756.4266142156.

The spelling of 432813105 in words is "four hundred thirty-two million, eight hundred thirteen thousand, one hundred five".