432378765 has 96 divisors (see below), whose sum is σ = 976824576. Its totient is φ = 171694080.

The previous prime is 432378721. The next prime is 432378841. The reversal of 432378765 is 567873234.

It is not a de Polignac number, because 432378765 - 2⁶ = 432378701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 432378765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66510 + ... + 72720.

It is an arithmetic number, because the mean of its divisors is an integer number (10175256).

Almost surely, 2^432378765 is an apocalyptic number.

432378765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432378765 is an abundant number, since it is smaller than the sum of its proper divisors (544445811).

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

432378765 is a wasteful number, since it uses less digits than its factorization.

432378765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6256 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 432378765 is about 20793.7193642696. The cubic root of 432378765 is about 756.1734978051.

The spelling of 432378765 in words is "four hundred thirty-two million, three hundred seventy-eight thousand, seven hundred sixty-five".