248025960 has 384 divisors, whose sum is σ = 1015822080. Its totient is φ = 51093504.

The previous prime is 248025907. The next prime is 248025961. The reversal of 248025960 is 69520842.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (248025961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2194864 + ... + 2194976.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^248025960 is an apocalyptic number.

248025960 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 248025960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040).

248025960 is an abundant number, since it is smaller than the sum of its proper divisors (767796120).

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

248025960 is a wasteful number, since it uses less digits than its factorization.

248025960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 248025960 is about 15748.8399572794. The cubic root of 248025960 is about 628.2980518214.

The spelling of 248025960 in words is "two hundred forty-eight million, twenty-five thousand, nine hundred sixty".