248409280 has 112 divisors (see below), whose sum is σ = 692017920. Its totient is φ = 83155968.

The previous prime is 248409247. The next prime is 248409299. The reversal of 248409280 is 82904842.

248409280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 95031 + ... + 97609.

Almost surely, 2^248409280 is an apocalyptic number.

248409280 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 248409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346008960).

248409280 is an abundant number, since it is smaller than the sum of its proper divisors (443608640).

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

248409280 is a wasteful number, since it uses less digits than its factorization.

248409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 248409280 is about 15761.0050440954. The cubic root of 248409280 is about 628.6215599529.

The spelling of 248409280 in words is "two hundred forty-eight million, four hundred nine thousand, two hundred eighty".