384050000 has 60 divisors (see below), whose sum is σ = 930182652. Its totient is φ = 153600000.

The previous prime is 384049999. The next prime is 384050011. The reversal of 384050000 is 50483.

It can be written as a sum of positive squares in 6 ways, for example, as 284529424 + 99520576 = 16868^2 + 9976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46160 + ... + 53840.

Almost surely, 2^384050000 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 384050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465091326).

384050000 is an abundant number, since it is smaller than the sum of its proper divisors (546132652).

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

384050000 is an frugal number, since it uses more digits than its factorization.

384050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 384050000 is about 19597.1936766467. The cubic root of 384050000 is about 726.8797829962.

The spelling of 384050000 in words is "three hundred eighty-four million, fifty thousand".