384352400 has 60 divisors (see below), whose sum is σ = 925512192. Its totient is φ = 153390720.

The previous prime is 384352363. The next prime is 384352429. The reversal of 384352400 is 4253483.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 242009 + ... + 243591.

Almost surely, 2^384352400 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 384352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462756096).

384352400 is an abundant number, since it is smaller than the sum of its proper divisors (541159792).

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

384352400 is a wasteful number, since it uses less digits than its factorization.

384352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 384352400 is about 19604.9075488766. The cubic root of 384352400 is about 727.0705140464.

The spelling of 384352400 in words is "three hundred eighty-four million, three hundred fifty-two thousand, four hundred".