384896 has 32 divisors (see below), whose sum is σ = 799680. Its totient is φ = 184320.

The previous prime is 384889. The next prime is 384907. The reversal of 384896 is 698483.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3920 + ... + 4016.

It is an arithmetic number, because the mean of its divisors is an integer number (24990).

2³⁸⁴⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399840).

384896 is an abundant number, since it is smaller than the sum of its proper divisors (414784).

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

384896 is an equidigital number, since it uses as much as digits as its factorization.

384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 384896 is about 620.3998710509. The cubic root of 384896 is about 72.7413124410.

The spelling of 384896 in words is "three hundred eighty-four thousand, eight hundred ninety-six".