248248320 has 96 divisors (see below), whose sum is σ = 794298960. Its totient is φ = 66191360.

The previous prime is 248248303. The next prime is 248248337. The reversal of 248248320 is 23842842.

It is an interprime number because it is at equal distance from previous prime (248248303) and next prime (248248337).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 26680 + ... + 34760.

Almost surely, 2^248248320 is an apocalyptic number.

248248320 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 248248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397149480).

248248320 is an abundant number, since it is smaller than the sum of its proper divisors (546050640).

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

248248320 is an equidigital number, since it uses as much as digits as its factorization.

248248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 248248320 is about 15755.8979433100. The cubic root of 248248320 is about 628.4857561316.

The spelling of 248248320 in words is "two hundred forty-eight million, two hundred forty-eight thousand, three hundred twenty".