432821640 has 128 divisors (see below), whose sum is σ = 1334620800. Its totient is φ = 112250880.

The previous prime is 432821603. The next prime is 432821647. The reversal of 432821640 is 46128234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 432821598 and 432821607.

It is not an unprimeable number, because it can be changed into a prime (432821647) 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 31 ways as a sum of consecutive naturals, for example, 799770 + ... + 800310.

It is an arithmetic number, because the mean of its divisors is an integer number (10426725).

Almost surely, 2^432821640 is an apocalyptic number.

432821640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432821640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667310400).

432821640 is an abundant number, since it is smaller than the sum of its proper divisors (901799160).

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

432821640 is a wasteful number, since it uses less digits than its factorization.

432821640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 432821640 is about 20804.3658879573. The cubic root of 432821640 is about 756.4315863839.

Adding to 432821640 its reverse (46128234), we get a palindrome (478949874).

The spelling of 432821640 in words is "four hundred thirty-two million, eight hundred twenty-one thousand, six hundred forty".