248075520 has 288 divisors, whose sum is σ = 988968960. Its totient is φ = 51486720.

The previous prime is 248075507. The next prime is 248075521. The reversal of 248075520 is 25570842.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248075521) 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 31 ways as a sum of consecutive naturals, for example, 295261 + ... + 296099.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2^248075520 is an apocalyptic number.

248075520 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 248075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494484480).

248075520 is an abundant number, since it is smaller than the sum of its proper divisors (740893440).

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

248075520 is a wasteful number, since it uses less digits than its factorization.

248075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 248075520 is about 15750.4133279098. The cubic root of 248075520 is about 628.3398974111.

The spelling of 248075520 in words is "two hundred forty-eight million, seventy-five thousand, five hundred twenty".