384450560 has 180 divisors, whose sum is σ = 1048675068. Its totient is φ = 134479872.

The previous prime is 384450557. The next prime is 384450569. The reversal of 384450560 is 65054483.

It can be written as a sum of positive squares in 2 ways, for example, as 94633984 + 289816576 = 9728^2 + 17024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 384450560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384450569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20234231 + ... + 20234249.

Almost surely, 2^384450560 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 384450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524337534).

384450560 is an abundant number, since it is smaller than the sum of its proper divisors (664224508).

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

384450560 is an equidigital number, since it uses as much as digits as its factorization.

384450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 384450560 is about 19607.4108438621. The cubic root of 384450560 is about 727.1324044425.

The spelling of 384450560 in words is "three hundred eighty-four million, four hundred fifty thousand, five hundred sixty".