384720 has 80 divisors (see below), whose sum is σ = 1368960. Its totient is φ = 87552.

The previous prime is 384719. The next prime is 384733. The reversal of 384720 is 27483.

384720 = 45² + 46² + ... + 107².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1566 + ... + 1794.

It is an arithmetic number, because the mean of its divisors is an integer number (17112).

2³⁸⁴⁷²⁰ is an apocalyptic number.

384720 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 384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684480).

384720 is an abundant number, since it is smaller than the sum of its proper divisors (984240).

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

384720 is a wasteful number, since it uses less digits than its factorization.

384720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 384720 is about 620.2580108310. The cubic root of 384720 is about 72.7302233651.

The spelling of 384720 in words is "three hundred eighty-four thousand, seven hundred twenty".