248722560 has 192 divisors, whose sum is σ = 889083000. Its totient is φ = 63995904.

The previous prime is 248722553. The next prime is 248722577. The reversal of 248722560 is 65227842.

248722560 is a `hidden beast` number, since 24 + 8 + 72 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168584256 + 80138304 = 12984^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166296 + ... + 167784.

Almost surely, 2^248722560 is an apocalyptic number.

248722560 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 248722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444541500).

248722560 is an abundant number, since it is smaller than the sum of its proper divisors (640360440).

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

248722560 is a wasteful number, since it uses less digits than its factorization.

248722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 248722560 is about 15770.9403651146. The cubic root of 248722560 is about 628.8857098169.

The spelling of 248722560 in words is "two hundred forty-eight million, seven hundred twenty-two thousand, five hundred sixty".