384552 has 72 divisors (see below), whose sum is σ = 1222650. Its totient is φ = 108864.

The previous prime is 384547. The next prime is 384577. The reversal of 384552 is 255483.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 86436 = 546^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3474 + ... + 3582.

2³⁸⁴⁵⁵² 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 384552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611325).

384552 is an abundant number, since it is smaller than the sum of its proper divisors (838098).

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

384552 is a wasteful number, since it uses less digits than its factorization.

384552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 384552 is about 620.1225685298. The cubic root of 384552 is about 72.7196351828.

The spelling of 384552 in words is "three hundred eighty-four thousand, five hundred fifty-two".