430980768 has 72 divisors (see below), whose sum is σ = 1236935700. Its totient is φ = 142331904.

The previous prime is 430980763. The next prime is 430980769. The reversal of 430980768 is 867089034.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 430479504 + 501264 = 20748^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (430980761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24528 + ... + 38256.

Almost surely, 2^430980768 is an apocalyptic number.

430980768 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 430980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618467850).

430980768 is an abundant number, since it is smaller than the sum of its proper divisors (805954932).

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

430980768 is a wasteful number, since it uses less digits than its factorization.

430980768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13854 (or 13843 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 430980768 is about 20760.0763004378. The cubic root of 430980768 is about 755.3576470242.

The spelling of 430980768 in words is "four hundred thirty million, nine hundred eighty thousand, seven hundred sixty-eight".