431781768 has 192 divisors, whose sum is σ = 1323878400. Its totient is φ = 126023040.

The previous prime is 431781761. The next prime is 431781773. The reversal of 431781768 is 867187134.

It is not an unprimeable number, because it can be changed into a prime (431781761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192005 + ... + 4192107.

It is an arithmetic number, because the mean of its divisors is an integer number (6895200).

Almost surely, 2^431781768 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 431781768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661939200).

431781768 is an abundant number, since it is smaller than the sum of its proper divisors (892096632).

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

431781768 is a wasteful number, since it uses less digits than its factorization.

431781768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 431781768 is about 20779.3591816495. The cubic root of 431781768 is about 755.8253144726.

The spelling of 431781768 in words is "four hundred thirty-one million, seven hundred eighty-one thousand, seven hundred sixty-eight".