384528790464 has 336 divisors, whose sum is σ = 1283770051200. Its totient is φ = 100680136704.

The previous prime is 384528790453. The next prime is 384528790487. The reversal of 384528790464 is 464097825483.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 384528790398 and 384528790407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16988947 + ... + 17011565.

It is an arithmetic number, because the mean of its divisors is an integer number (3820744200).

Almost surely, 2^384528790464 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 384528790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641885025600).

384528790464 is an abundant number, since it is smaller than the sum of its proper divisors (899241260736).

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

384528790464 is a wasteful number, since it uses less digits than its factorization.

384528790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22800 (or 22783 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 384528790464 in words is "three hundred eighty-four billion, five hundred twenty-eight million, seven hundred ninety thousand, four hundred sixty-four".