384240 has 40 divisors (see below), whose sum is σ = 1191888. Its totient is φ = 102400.

The previous prime is 384227. The next prime is 384247. The reversal of 384240 is 42483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384247) by changing a digit.

384240 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 7 ways as a sum of consecutive naturals, for example, 561 + ... + 1040.

2³⁸⁴²⁴⁰ is an apocalyptic number.

384240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384240 is an abundant number, since it is smaller than the sum of its proper divisors (807648).

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

384240 is a wasteful number, since it uses less digits than its factorization.

384240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

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

The square root of 384240 is about 619.8709543123. The cubic root of 384240 is about 72.6999632313.

It can be divided in two parts, 38 and 4240, that added together give a triangular number (4278 = T₉₂).

The spelling of 384240 in words is "three hundred eighty-four thousand, two hundred forty".