384420 has 48 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 99456.

The previous prime is 384407. The next prime is 384437. The reversal of 384420 is 24483.

384420 = T₃₀₆ + T₃₀₇ + ... + T₃₁₃.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

384420 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 15 ways as a sum of consecutive naturals, for example, 2506 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2³⁸⁴⁴²⁰ is an apocalyptic number.

384420 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 384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

384420 is an abundant number, since it is smaller than the sum of its proper divisors (724380).

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

384420 is a wasteful number, since it uses less digits than its factorization.

384420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 384420 is about 620.0161288225. The cubic root of 384420 is about 72.7113137331.

The spelling of 384420 in words is "three hundred eighty-four thousand, four hundred twenty".