431716900 has 54 divisors (see below), whose sum is σ = 979448162. Its totient is φ = 165158400.

The previous prime is 431716847. The next prime is 431716907. The reversal of 431716900 is 9617134.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14577124 + 417139776 = 3818^2 + 20424^2 .

It is a super-2 number, since 2×431716900² = 372758963491220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431716907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48820 + ... + 56980.

Almost surely, 2^431716900 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 431716900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489724081).

431716900 is an abundant number, since it is smaller than the sum of its proper divisors (547731262).

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

431716900 is a wasteful number, since it uses less digits than its factorization.

431716900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8221 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 431716900 is about 20777.7982471676. The cubic root of 431716900 is about 755.7874625332.

The spelling of 431716900 in words is "four hundred thirty-one million, seven hundred sixteen thousand, nine hundred".