430760960 has 264 divisors, whose sum is σ = 1285335864. Its totient is φ = 137625600.

The previous prime is 430760959. The next prime is 430760987. The reversal of 430760960 is 69067034.

It can be written as a sum of positive squares in 4 ways, for example, as 205520896 + 225240064 = 14336^2 + 15008^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 430760960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4264910 + ... + 4265010.

Almost surely, 2^430760960 is an apocalyptic number.

430760960 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 430760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642667932).

430760960 is an abundant number, since it is smaller than the sum of its proper divisors (854574904).

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

430760960 is a wasteful number, since it uses less digits than its factorization.

430760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 430760960 is about 20754.7816177381. The cubic root of 430760960 is about 755.2292098249.

The spelling of 430760960 in words is "four hundred thirty million, seven hundred sixty thousand, nine hundred sixty".