248851280 has 40 divisors (see below), whose sum is σ = 582293832. Its totient is φ = 98901504.

The previous prime is 248851279. The next prime is 248851313. The reversal of 248851280 is 82158842.

248851280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5740816 + 243110464 = 2396^2 + 15592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2654 + ... + 22466.

Almost surely, 2^248851280 is an apocalyptic number.

248851280 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 248851280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291146916).

248851280 is an abundant number, since it is smaller than the sum of its proper divisors (333442552).

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

248851280 is a wasteful number, since it uses less digits than its factorization.

248851280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983 (or 19977 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 248851280 is about 15775.0207606836. The cubic root of 248851280 is about 628.9941790125.

The spelling of 248851280 in words is "two hundred forty-eight million, eight hundred fifty-one thousand, two hundred eighty".