431024020420 has 72 divisors (see below), whose sum is σ = 1054638118296. Its totient is φ = 147539943936.

The previous prime is 431024020417. The next prime is 431024020451. The reversal of 431024020420 is 24020420134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7077183876 + 423946836544 = 84126^2 + 651112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 431024020391 and 431024020400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248242 + ... + 961078.

It is an arithmetic number, because the mean of its divisors is an integer number (14647751643).

Almost surely, 2^431024020420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431024020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527319059148).

431024020420 is an abundant number, since it is smaller than the sum of its proper divisors (623614097876).

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

431024020420 is a wasteful number, since it uses less digits than its factorization.

431024020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713477 (or 713468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 431024020420 its reverse (24020420134), we get a palindrome (455044440554).

The spelling of 431024020420 in words is "four hundred thirty-one billion, twenty-four million, twenty thousand, four hundred twenty".