248306880 has 112 divisors (see below), whose sum is σ = 799697664. Its totient is φ = 65264640.

The previous prime is 248306813. The next prime is 248306887. The reversal of 248306880 is 88603842.

248306880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248306887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66339 + ... + 69981.

Almost surely, 2^248306880 is an apocalyptic number.

248306880 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 248306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399848832).

248306880 is an abundant number, since it is smaller than the sum of its proper divisors (551390784).

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

248306880 is a wasteful number, since it uses less digits than its factorization.

248306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3724 counting only the distinct ones).

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

The square root of 248306880 is about 15757.7561854472. The cubic root of 248306880 is about 628.5351706752.

The spelling of 248306880 in words is "two hundred forty-eight million, three hundred six thousand, eight hundred eighty".