384900 has 36 divisors (see below), whose sum is σ = 1114512. Its totient is φ = 102560.

The previous prime is 384889. The next prime is 384907. The reversal of 384900 is 9483.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384900.

It is not an unprimeable number, because it can be changed into a prime (384907) by changing a digit.

384900 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 342 + ... + 941.

2³⁸⁴⁹⁰⁰ is an apocalyptic number.

384900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384900 is an abundant number, since it is smaller than the sum of its proper divisors (729612).

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

384900 is a wasteful number, since it uses less digits than its factorization.

384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 384900 is about 620.4030947698. The cubic root of 384900 is about 72.7415644262.

The spelling of 384900 in words is "three hundred eighty-four thousand, nine hundred".