384090 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 83520.

The previous prime is 384089. The next prime is 384107. The reversal of 384090 is 90483.

It is a self number, because there is not a number n which added to its sum of digits gives 384090.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384090.

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 31 ways as a sum of consecutive naturals, for example, 6481 + ... + 6539.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³⁸⁴⁰⁹⁰ is an apocalyptic number.

384090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

384090 is an abundant number, since it is smaller than the sum of its proper divisors (721830).

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

384090 is a wasteful number, since it uses less digits than its factorization.

384090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

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

The square root of 384090 is about 619.7499495764. The cubic root of 384090 is about 72.6905017716.

The spelling of 384090 in words is "three hundred eighty-four thousand, ninety".