248866440 has 128 divisors (see below), whose sum is σ = 800444160. Its totient is φ = 61737984.

The previous prime is 248866421. The next prime is 248866441. The reversal of 248866440 is 44668842.

248866440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248866392 and 248866401.

It is not an unprimeable number, because it can be changed into a prime (248866441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100902 + ... + 103338.

It is an arithmetic number, because the mean of its divisors is an integer number (6253470).

Almost surely, 2^248866440 is an apocalyptic number.

248866440 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 248866440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400222080).

248866440 is an abundant number, since it is smaller than the sum of its proper divisors (551577720).

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

248866440 is a wasteful number, since it uses less digits than its factorization.

248866440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 248866440 is about 15775.5012598649. The cubic root of 248866440 is about 629.0069515114.

The spelling of 248866440 in words is "two hundred forty-eight million, eight hundred sixty-six thousand, four hundred forty".