381248 has 56 divisors (see below), whose sum is σ = 926592. Its totient is φ = 152064.

The previous prime is 381239. The next prime is 381253. The reversal of 381248 is 842183.

381248 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10286 + ... + 10322.

2³⁸¹²⁴⁸ 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 381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296).

381248 is an abundant number, since it is smaller than the sum of its proper divisors (545344).

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

381248 is a wasteful number, since it uses less digits than its factorization.

381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 381248 is about 617.4528322066. The cubic root of 381248 is about 72.5107712891.

The spelling of 381248 in words is "three hundred eighty-one thousand, two hundred forty-eight".