248039360 has 112 divisors (see below), whose sum is σ = 626766336. Its totient is φ = 93299712.

The previous prime is 248039353. The next prime is 248039399. The reversal of 248039360 is 63930842.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 248039360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492869 + ... + 493371.

It is an arithmetic number, because the mean of its divisors is an integer number (5596128).

Almost surely, 2^248039360 is an apocalyptic number.

248039360 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 248039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313383168).

248039360 is an abundant number, since it is smaller than the sum of its proper divisors (378726976).

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

248039360 is a wasteful number, since it uses less digits than its factorization.

248039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 248039360 is about 15749.2653796931. The cubic root of 248039360 is about 628.3093665540.

The spelling of 248039360 in words is "two hundred forty-eight million, thirty-nine thousand, three hundred sixty".