248323360 has 48 divisors (see below), whose sum is σ = 588777336. Its totient is φ = 98971648.

The previous prime is 248323357. The next prime is 248323363. The reversal of 248323360 is 63323842.

It is an interprime number because it is at equal distance from previous prime (248323357) and next prime (248323363).

It can be written as a sum of positive squares in 4 ways, for example, as 248251536 + 71824 = 15756^2 + 268^2 .

It is a super-2 number, since 2×248323360² = 123328982243379200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248323363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44232 + ... + 49528.

Almost surely, 2^248323360 is an apocalyptic number.

248323360 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 248323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294388668).

248323360 is an abundant number, since it is smaller than the sum of its proper divisors (340453976).

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

248323360 is a wasteful number, since it uses less digits than its factorization.

248323360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 248323360 is about 15758.2790938605. The cubic root of 248323360 is about 628.5490755530.

The spelling of 248323360 in words is "two hundred forty-eight million, three hundred twenty-three thousand, three hundred sixty".