248760320 has 96 divisors (see below), whose sum is σ = 632431800. Its totient is φ = 93585408.

The previous prime is 248760319. The next prime is 248760329. The reversal of 248760320 is 23067842.

It can be written as a sum of positive squares in 4 ways, for example, as 174662656 + 74097664 = 13216^2 + 8608^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (248760329) 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, 173366 + ... + 174794.

Almost surely, 2^248760320 is an apocalyptic number.

248760320 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 248760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316215900).

248760320 is an abundant number, since it is smaller than the sum of its proper divisors (383671480).

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

248760320 is a wasteful number, since it uses less digits than its factorization.

248760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 248760320 is about 15772.1374581887. The cubic root of 248760320 is about 628.9175331234.

The spelling of 248760320 in words is "two hundred forty-eight million, seven hundred sixty thousand, three hundred twenty".