384528384 has 260 divisors, whose sum is σ = 1228977640. Its totient is φ = 119439360.

The previous prime is 384528373. The next prime is 384528427. The reversal of 384528384 is 483825483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6303714 + ... + 6303774.

Almost surely, 2^384528384 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 384528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614488820).

384528384 is an abundant number, since it is smaller than the sum of its proper divisors (844449256).

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

384528384 is an equidigital number, since it uses as much as digits as its factorization.

384528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 384528384 is about 19609.3952991927. The cubic root of 384528384 is about 727.1814653970.

The spelling of 384528384 in words is "three hundred eighty-four million, five hundred twenty-eight thousand, three hundred eighty-four".