4681248 has 144 divisors (see below), whose sum is σ = 15015168. Its totient is φ = 1267200.

The previous prime is 4681241. The next prime is 4681253. The reversal of 4681248 is 8421864.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (4681241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150993 + ... + 151023.

It is an arithmetic number, because the mean of its divisors is an integer number (104272).

Almost surely, 2^4681248 is an apocalyptic number.

4681248 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 4681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507584).

4681248 is an abundant number, since it is smaller than the sum of its proper divisors (10333920).

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

4681248 is a wasteful number, since it uses less digits than its factorization.

4681248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4681248 is about 2163.6191901534. The cubic root of 4681248 is about 167.2837991755.

The spelling of 4681248 in words is "four million, six hundred eighty-one thousand, two hundred forty-eight".