431140000 has 60 divisors (see below), whose sum is σ = 1060718274. Its totient is φ = 172448000.

The previous prime is 431139997. The next prime is 431140027. The reversal of 431140000 is 41134.

It can be written as a sum of positive squares in 5 ways, for example, as 6615184 + 424524816 = 2572^2 + 20604^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 9222 + ... + 30778.

Almost surely, 2^431140000 is an apocalyptic number.

431140000 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 431140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530359137).

431140000 is an abundant number, since it is smaller than the sum of its proper divisors (629578274).

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

431140000 is an equidigital number, since it uses as much as digits as its factorization.

431140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21587 (or 21564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 431140000 is about 20763.9109996166. The cubic root of 431140000 is about 755.4506614602.

Adding to 431140000 its reverse (41134), we get a palindrome (431181134).

The spelling of 431140000 in words is "four hundred thirty-one million, one hundred forty thousand".