248881820 has 48 divisors (see below), whose sum is σ = 578013408. Its totient is φ = 89256960.

The previous prime is 248881813. The next prime is 248881823. The reversal of 248881820 is 28188842.

248881820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248881823) 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, 8312 + ... + 23808.

It is an arithmetic number, because the mean of its divisors is an integer number (12041946).

Almost surely, 2^248881820 is an apocalyptic number.

248881820 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 248881820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289006704).

248881820 is an abundant number, since it is smaller than the sum of its proper divisors (329131588).

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

248881820 is a wasteful number, since it uses less digits than its factorization.

248881820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15590 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 248881820 is about 15775.9887170345. The cubic root of 248881820 is about 629.0199088332.

The spelling of 248881820 in words is "two hundred forty-eight million, eight hundred eighty-one thousand, eight hundred twenty".