248732480 has 56 divisors (see below), whose sum is σ = 595850472. Its totient is φ = 98895872.

The previous prime is 248732467. The next prime is 248732501. The reversal of 248732480 is 84237842.

It is a happy number.

248732480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 158558464 + 90174016 = 12592^2 + 9496^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53114 + ... + 57606.

It is an arithmetic number, because the mean of its divisors is an integer number (10640187).

Almost surely, 2^248732480 is an apocalyptic number.

248732480 is a gapful number since it is divisible by the number (20) 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 248732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297925236).

248732480 is an abundant number, since it is smaller than the sum of its proper divisors (347117992).

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

248732480 is a wasteful number, since it uses less digits than its factorization.

248732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 248732480 is about 15771.2548644678. The cubic root of 248732480 is about 628.8940704890.

The spelling of 248732480 in words is "two hundred forty-eight million, seven hundred thirty-two thousand, four hundred eighty".