384030400 has 168 divisors, whose sum is σ = 1047242000. Its totient is φ = 137687040.

The previous prime is 384030389. The next prime is 384030403. The reversal of 384030400 is 4030483.

It is not an unprimeable number, because it can be changed into a prime (384030403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769351 + ... + 769849.

Almost surely, 2^384030400 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 384030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523621000).

384030400 is an abundant number, since it is smaller than the sum of its proper divisors (663211600).

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

384030400 is a wasteful number, since it uses less digits than its factorization.

384030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 384030400 is about 19596.6935986661. The cubic root of 384030400 is about 726.8674173441.

Adding to 384030400 its reverse (4030483), we get a palindrome (388060883).

The spelling of 384030400 in words is "three hundred eighty-four million, thirty thousand, four hundred".