430661885952 has 224 divisors, whose sum is σ = 1204866109440. Its totient is φ = 136559329280.

The previous prime is 430661885939. The next prime is 430661885963. The reversal of 430661885952 is 259588166034.

It is a junction number, because it is equal to n+sod(n) for n = 430661885892 and 430661885901.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107960374 + ... + 107964362.

It is an arithmetic number, because the mean of its divisors is an integer number (5378866560).

Almost surely, 2^430661885952 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 430661885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602433054720).

430661885952 is an abundant number, since it is smaller than the sum of its proper divisors (774204223488).

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

430661885952 is a wasteful number, since it uses less digits than its factorization.

430661885952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 430661885952 in words is "four hundred thirty billion, six hundred sixty-one million, eight hundred eighty-five thousand, nine hundred fifty-two".