384064 has 28 divisors (see below), whose sum is σ = 809244. Its totient is φ = 180224.

The previous prime is 384061. The next prime is 384067. The reversal of 384064 is 460483.

It is an interprime number because it is at equal distance from previous prime (384061) and next prime (384067).

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 153664 = 480^2 + 392^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384064.

It is not an unprimeable number, because it can be changed into a prime (384061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 912 + ... + 1264.

2³⁸⁴⁰⁶⁴ is an apocalyptic number.

384064 is a gapful number since it is divisible by the number (34) 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 384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404622).

384064 is an abundant number, since it is smaller than the sum of its proper divisors (425180).

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

384064 is a wasteful number, since it uses less digits than its factorization.

384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 384064 is about 619.7289730197. The cubic root of 384064 is about 72.6888615347.

The spelling of 384064 in words is "three hundred eighty-four thousand, sixty-four".