432840304836 has 81 divisors (see below), whose sum is σ = 1118378016301. Its totient is φ = 141149784864.

The previous prime is 432840304777. The next prime is 432840304877. The reversal of 432840304836 is 638403048234.

The square root of 432840304836 is 657906.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 148171104900 + 284669199936 = 384930^2 + 533544^2 .

It is a super-3 number, since 3×432840304836³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432840304791 and 432840304800.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185528326 + ... + 185530658.

Almost surely, 2^432840304836 is an apocalyptic number.

432840304836 is the 657906-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432840304836

432840304836 is an abundant number, since it is smaller than the sum of its proper divisors (685537711465).

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

432840304836 is an equidigital number, since it uses as much as digits as its factorization.

432840304836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 432840304836 in words is "four hundred thirty-two billion, eight hundred forty million, three hundred four thousand, eight hundred thirty-six".