248138880 has 256 divisors, whose sum is σ = 893030400. Its totient is φ = 58060800.

The previous prime is 248138867. The next prime is 248138887. The reversal of 248138880 is 88831842.

It is not an unprimeable number, because it can be changed into a prime (248138887) 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 31 ways as a sum of consecutive naturals, for example, 654531 + ... + 654909.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^248138880 is an apocalyptic number.

248138880 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 248138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).

248138880 is an abundant number, since it is smaller than the sum of its proper divisors (644891520).

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

248138880 is a wasteful number, since it uses less digits than its factorization.

248138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 248138880 is about 15752.4245752836. The cubic root of 248138880 is about 628.3933868042.

It can be divided in two parts, 248 and 138880, that added together give a triangular number (139128 = T₅₂₇).

The spelling of 248138880 in words is "two hundred forty-eight million, one hundred thirty-eight thousand, eight hundred eighty".