384102400 has 234 divisors, whose sum is σ = 1080687776. Its totient is φ = 135168000.

The previous prime is 384102371. The next prime is 384102401. The reversal of 384102400 is 4201483.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12390385 + ... + 12390415.

Almost surely, 2^384102400 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 384102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540343888).

384102400 is an abundant number, since it is smaller than the sum of its proper divisors (696585376).

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

384102400 is a wasteful number, since it uses less digits than its factorization.

384102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 384102400 is about 19598.5305571617. The cubic root of 384102400 is about 726.9128401229.

Adding to 384102400 its reverse (4201483), we get a palindrome (388303883).

The spelling of 384102400 in words is "three hundred eighty-four million, one hundred two thousand, four hundred".