248022720 has 168 divisors, whose sum is σ = 930767760. Its totient is φ = 60119040.

The previous prime is 248022701. The next prime is 248022721. The reversal of 248022720 is 27220842.

It is not an unprimeable number, because it can be changed into a prime (248022721) 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 23 ways as a sum of consecutive naturals, for example, 27766 + ... + 35594.

Almost surely, 2^248022720 is an apocalyptic number.

248022720 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 248022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465383880).

248022720 is an abundant number, since it is smaller than the sum of its proper divisors (682745040).

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

248022720 is a wasteful number, since it uses less digits than its factorization.

248022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 248022720 is about 15748.7370922243. The cubic root of 248022720 is about 628.2953159592.

It can be divided in two parts, 2480 and 22720, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 248022720 in words is "two hundred forty-eight million, twenty-two thousand, seven hundred twenty".