248559360 has 216 divisors, whose sum is σ = 924141456. Its totient is φ = 56770560.

The previous prime is 248559317. The next prime is 248559361. The reversal of 248559360 is 63955842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248559361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187500 + ... + 188820.

Almost surely, 2^248559360 is an apocalyptic number.

248559360 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 248559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462070728).

248559360 is an abundant number, since it is smaller than the sum of its proper divisors (675582096).

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

248559360 is a wasteful number, since it uses less digits than its factorization.

248559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 248559360 is about 15765.7654428829. The cubic root of 248559360 is about 628.7481313521.

The spelling of 248559360 in words is "two hundred forty-eight million, five hundred fifty-nine thousand, three hundred sixty".