248551520 has 120 divisors (see below), whose sum is σ = 686088144. Its totient is φ = 85085952.

The previous prime is 248551517. The next prime is 248551529. The reversal of 248551520 is 25155842.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248551529) 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 19 ways as a sum of consecutive naturals, for example, 383837 + ... + 384483.

Almost surely, 2^248551520 is an apocalyptic number.

248551520 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 248551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343044072).

248551520 is an abundant number, since it is smaller than the sum of its proper divisors (437536624).

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

248551520 is an frugal number, since it uses more digits than its factorization.

248551520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 248551520 is about 15765.5168009171. The cubic root of 248551520 is about 628.7415206748.

The spelling of 248551520 in words is "two hundred forty-eight million, five hundred fifty-one thousand, five hundred twenty".