431341000 has 64 divisors (see below), whose sum is σ = 1068752880. Its totient is φ = 162380800.

The previous prime is 431340971. The next prime is 431341019. The reversal of 431341000 is 143134.

It can be written as a sum of positive squares in 8 ways, for example, as 114244 + 431226756 = 338^2 + 20766^2 .

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 15 ways as a sum of consecutive naturals, for example, 4314 + ... + 29686.

Almost surely, 2^431341000 is an apocalyptic number.

431341000 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 431341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534376440).

431341000 is an abundant number, since it is smaller than the sum of its proper divisors (637411880).

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

431341000 is a wasteful number, since it uses less digits than its factorization.

431341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25411 (or 25397 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 431341000 is about 20768.7505642492. The cubic root of 431341000 is about 755.5680417327.

Adding to 431341000 its reverse (143134), we get a palindrome (431484134).

The spelling of 431341000 in words is "four hundred thirty-one million, three hundred forty-one thousand".