248339760 has 160 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 61824000.

The previous prime is 248339743. The next prime is 248339771. The reversal of 248339760 is 67933842.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215185 + ... + 216335.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^248339760 is an apocalyptic number.

248339760 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 248339760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

248339760 is an abundant number, since it is smaller than the sum of its proper divisors (574464720).

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

248339760 is a wasteful number, since it uses less digits than its factorization.

248339760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 248339760 is about 15758.7994466584. The cubic root of 248339760 is about 628.5629123207.

The spelling of 248339760 in words is "two hundred forty-eight million, three hundred thirty-nine thousand, seven hundred sixty".