481248 has 48 divisors (see below), whose sum is σ = 1406160. Its totient is φ = 160128.

The previous prime is 481231. The next prime is 481249. The reversal of 481248 is 842184.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁴⁸¹²⁴⁸ is an apocalyptic number.

481248 is a gapful number since it is divisible by the number (48) 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 481248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080).

481248 is an abundant number, since it is smaller than the sum of its proper divisors (924912).

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

481248 is a wasteful number, since it uses less digits than its factorization.

481248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 481248 is about 693.7204047741. The cubic root of 481248 is about 78.3651518039.

It can be divided in two parts, 481 and 248, that added together give a 6-th power (729 = 3⁶).

The spelling of 481248 in words is "four hundred eighty-one thousand, two hundred forty-eight".