248268840 has 64 divisors (see below), whose sum is σ = 749174400. Its totient is φ = 65816832.

The previous prime is 248268829. The next prime is 248268847. The reversal of 248268840 is 48862842.

248268840 is digitally balanced in base 3, because in such base 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 = 248268792 and 248268801.

It is not an unprimeable number, because it can be changed into a prime (248268847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14781 + ... + 26739.

It is an arithmetic number, because the mean of its divisors is an integer number (11705850).

Almost surely, 2^248268840 is an apocalyptic number.

248268840 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 248268840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374587200).

248268840 is an abundant number, since it is smaller than the sum of its proper divisors (500905560).

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

248268840 is a wasteful number, since it uses less digits than its factorization.

248268840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 248268840 is about 15756.5491145745. The cubic root of 248268840 is about 628.5030723581.

The spelling of 248268840 in words is "two hundred forty-eight million, two hundred sixty-eight thousand, eight hundred forty".