430666560 has 168 divisors, whose sum is σ = 1490060520. Its totient is φ = 114167808.

The previous prime is 430666531. The next prime is 430666567. The reversal of 430666560 is 65666034.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 352237824 = 8856^2 + 18768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430666567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659194 + ... + 659846.

Almost surely, 2^430666560 is an apocalyptic number.

430666560 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 430666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745030260).

430666560 is an abundant number, since it is smaller than the sum of its proper divisors (1059393960).

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

430666560 is a wasteful number, since it uses less digits than its factorization.

430666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 430666560 is about 20752.5073183941. The cubic root of 430666560 is about 755.1740370395.

The spelling of 430666560 in words is "four hundred thirty million, six hundred sixty-six thousand, five hundred sixty".