430675960 has 256 divisors, whose sum is σ = 1245404160. Its totient is φ = 131604480.

The previous prime is 430675957. The next prime is 430675991. The reversal of 430675960 is 69576034.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4181269 + ... + 4181371.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^430675960 is an apocalyptic number.

430675960 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 430675960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

430675960 is an abundant number, since it is smaller than the sum of its proper divisors (814728200).

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

430675960 is a wasteful number, since it uses less digits than its factorization.

430675960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 430675960 is about 20752.7337958159. The cubic root of 430675960 is about 755.1795313012.

The spelling of 430675960 in words is "four hundred thirty million, six hundred seventy-five thousand, nine hundred sixty".