248468160 has 112 divisors (see below), whose sum is σ = 800868096. Its totient is φ = 65252352.

The previous prime is 248468137. The next prime is 248468183. The reversal of 248468160 is 61864842.

248468160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248468137) and next prime (248468183).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62389 + ... + 66251.

It is an arithmetic number, because the mean of its divisors is an integer number (7150608).

Almost surely, 2^248468160 is an apocalyptic number.

248468160 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 248468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400434048).

248468160 is an abundant number, since it is smaller than the sum of its proper divisors (552399936).

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

248468160 is a wasteful number, since it uses less digits than its factorization.

248468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 248468160 is about 15762.8728346073. The cubic root of 248468160 is about 628.6712230377.

The spelling of 248468160 in words is "two hundred forty-eight million, four hundred sixty-eight thousand, one hundred sixty".