248520256 has 56 divisors (see below), whose sum is σ = 513024120. Its totient is φ = 119304192.

The previous prime is 248520241. The next prime is 248520257. The reversal of 248520256 is 652025842.

It can be written as a sum of positive squares in 4 ways, for example, as 148840000 + 99680256 = 12200^2 + 9984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248520257) 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 7 ways as a sum of consecutive naturals, for example, 543580 + ... + 544036.

It is an arithmetic number, because the mean of its divisors is an integer number (9161145).

Almost surely, 2^248520256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256512060).

248520256 is an abundant number, since it is smaller than the sum of its proper divisors (264503864).

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

248520256 is a wasteful number, since it uses less digits than its factorization.

248520256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 248520256 is about 15764.5252386490. The cubic root of 248520256 is about 628.7151575300.

The spelling of 248520256 in words is "two hundred forty-eight million, five hundred twenty thousand, two hundred fifty-six".