248826880 has 88 divisors (see below), whose sum is σ = 623139552. Its totient is φ = 95158272.

The previous prime is 248826859. The next prime is 248826899. The reversal of 248826880 is 88628842.

248826880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 248826880.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 116704 + ... + 118816.

Almost surely, 2^248826880 is an apocalyptic number.

248826880 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 248826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311569776).

248826880 is an abundant number, since it is smaller than the sum of its proper divisors (374312672).

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

248826880 is a wasteful number, since it uses less digits than its factorization.

248826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 248826880 is about 15774.2473671488. The cubic root of 248826880 is about 628.9736206029.

The spelling of 248826880 in words is "two hundred forty-eight million, eight hundred twenty-six thousand, eight hundred eighty".