384948 has 54 divisors (see below), whose sum is σ = 1061606. Its totient is φ = 117504.

The previous prime is 384941. The next prime is 384961. The reversal of 384948 is 849483.

It can be written as a sum of positive squares in 3 ways, for example, as 242064 + 142884 = 492^2 + 378^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10386 + ... + 10422.

2³⁸⁴⁹⁴⁸ 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 384948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530803).

384948 is an abundant number, since it is smaller than the sum of its proper divisors (676658).

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

384948 is a wasteful number, since it uses less digits than its factorization.

384948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 384948 is about 620.4417780904. The cubic root of 384948 is about 72.7445881120.

The spelling of 384948 in words is "three hundred eighty-four thousand, nine hundred forty-eight".