431144000 has 112 divisors (see below), whose sum is σ = 1220419200. Its totient is φ = 147801600.

The previous prime is 431143969. The next prime is 431144099. The reversal of 431144000 is 441134.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 431144000.

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 15 ways as a sum of consecutive naturals, for example, 52151 + ... + 59849.

It is an arithmetic number, because the mean of its divisors is an integer number (10896600).

Almost surely, 2^431144000 is an apocalyptic number.

431144000 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 431144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610209600).

431144000 is an abundant number, since it is smaller than the sum of its proper divisors (789275200).

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

431144000 is an equidigital number, since it uses as much as digits as its factorization.

431144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 431144000 is about 20764.0073203609. The cubic root of 431144000 is about 755.4529977418.

Adding to 431144000 its reverse (441134), we get a palindrome (431585134).

The spelling of 431144000 in words is "four hundred thirty-one million, one hundred forty-four thousand".