384489600 has 288 divisors, whose sum is σ = 1396212720. Its totient is φ = 92928000.

The previous prime is 384489571. The next prime is 384489601. The reversal of 384489600 is 6984483.

It is not an unprimeable number, because it can be changed into a prime (384489601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161435 + ... + 1161765.

Almost surely, 2^384489600 is an apocalyptic number.

384489600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698106360).

384489600 is an abundant number, since it is smaller than the sum of its proper divisors (1011723120).

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

384489600 is a wasteful number, since it uses less digits than its factorization.

384489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 384489600 is about 19608.4063605383. The cubic root of 384489600 is about 727.1570164396.

It can be divided in two parts, 384 and 489600, that added together give a palindrome (489984).

The spelling of 384489600 in words is "three hundred eighty-four million, four hundred eighty-nine thousand, six hundred".