431999568 has 560 divisors, whose sum is σ = 1730472576. Its totient is φ = 100776960.

The previous prime is 431999551. The next prime is 431999587. The reversal of 431999568 is 865999134.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11675646 + ... + 11675682.

Almost surely, 2^431999568 is an apocalyptic number.

431999568 is a gapful number since it is divisible by the number (48) 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 431999568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865236288).

431999568 is an abundant number, since it is smaller than the sum of its proper divisors (1298473008).

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

431999568 is a wasteful number, since it uses less digits than its factorization.

431999568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 431999568 is about 20784.5992985191. The cubic root of 431999568 is about 755.9523779526.

It can be divided in two parts, 431 and 999568, that added together give a palindrome (999999).

The spelling of 431999568 in words is "four hundred thirty-one million, nine hundred ninety-nine thousand, five hundred sixty-eight".