431414032 has 60 divisors (see below), whose sum is σ = 1029560220. Its totient is φ = 174010368.

The previous prime is 431414003. The next prime is 431414033. The reversal of 431414032 is 230414134.

It can be written as a sum of positive squares in 2 ways, for example, as 156650256 + 274763776 = 12516^2 + 16576^2 .

It is a super-2 number, since 2×431414032² = 372236134012994048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431413994 and 431414012.

It is not an unprimeable number, because it can be changed into a prime (431414033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2857 + ... + 29512.

It is an arithmetic number, because the mean of its divisors is an integer number (17159337).

Almost surely, 2^431414032 is an apocalyptic number.

It is an amenable number.

431414032 is an abundant number, since it is smaller than the sum of its proper divisors (598146188).

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

431414032 is a wasteful number, since it uses less digits than its factorization.

431414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32408 (or 32395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 431414032 is about 20770.5087082623. The cubic root of 431414032 is about 755.6106820344.

Adding to 431414032 its reverse (230414134), we get a palindrome (661828166).

The spelling of 431414032 in words is "four hundred thirty-one million, four hundred fourteen thousand, thirty-two".