430464061256460 has 288 divisors, whose sum is σ = 1514271284305920. Its totient is φ = 89436668090880.

The previous prime is 430464061256447. The next prime is 430464061256477. The reversal of 430464061256460 is 64652160464034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440070037 + ... + 441047123.

It is an arithmetic number, because the mean of its divisors is an integer number (5257886403840).

Almost surely, 2^{430464061256460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430464061256460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757135642152960).

430464061256460 is an abundant number, since it is smaller than the sum of its proper divisors (1083807223049460).

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

430464061256460 is a wasteful number, since it uses less digits than its factorization.

430464061256460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985797 (or 985784 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 430464061256460 in words is "four hundred thirty trillion, four hundred sixty-four billion, sixty-one million, two hundred fifty-six thousand, four hundred sixty".