430048784640 has 576 divisors, whose sum is σ = 1507188695040. Its totient is φ = 104098037760.

The previous prime is 430048784623. The next prime is 430048784677. The reversal of 430048784640 is 46487840034.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 430048784640.

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, 242007432 + ... + 242009208.

It is an arithmetic number, because the mean of its divisors is an integer number (2616647040).

Almost surely, 2^430048784640 is an apocalyptic number.

430048784640 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 430048784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753594347520).

430048784640 is an abundant number, since it is smaller than the sum of its proper divisors (1077139910400).

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

430048784640 is a wasteful number, since it uses less digits than its factorization.

430048784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 430048784640 in words is "four hundred thirty billion, forty-eight million, seven hundred eighty-four thousand, six hundred forty".