248701024 has 192 divisors, whose sum is σ = 640120320. Its totient is φ = 93265920.

The previous prime is 248701009. The next prime is 248701027. The reversal of 248701024 is 420107842.

It is a junction number, because it is equal to n+sod(n) for n = 248700983 and 248701001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248701027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789147 + ... + 1789285.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^248701024 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 248701024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

248701024 is an abundant number, since it is smaller than the sum of its proper divisors (391419296).

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

248701024 is a wasteful number, since it uses less digits than its factorization.

248701024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 248701024 is about 15770.2575755756. The cubic root of 248701024 is about 628.8675583023.

Adding to 248701024 its reverse (420107842), we get a palindrome (668808866).

The spelling of 248701024 in words is "two hundred forty-eight million, seven hundred one thousand, twenty-four".