248578520 has 64 divisors (see below), whose sum is σ = 590976000. Its totient is φ = 93840768.

The previous prime is 248578511. The next prime is 248578529. The reversal of 248578520 is 25875842.

It is an interprime number because it is at equal distance from previous prime (248578511) and next prime (248578529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248578529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287609 + ... + 288471.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 2^248578520 is an apocalyptic number.

248578520 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 248578520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295488000).

248578520 is an abundant number, since it is smaller than the sum of its proper divisors (342397480).

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

248578520 is a wasteful number, since it uses less digits than its factorization.

248578520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 248578520 is about 15766.3730769001. The cubic root of 248578520 is about 628.7642864531.

The spelling of 248578520 in words is "two hundred forty-eight million, five hundred seventy-eight thousand, five hundred twenty".