248817712 has 80 divisors (see below), whose sum is σ = 599774112. Its totient is φ = 98242560.

The previous prime is 248817683. The next prime is 248817713. The reversal of 248817712 is 217718842.

248817712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248817713) 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, 35698 + ... + 42094.

Almost surely, 2^248817712 is an apocalyptic number.

248817712 is a gapful number since it is divisible by the number (22) 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 248817712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299887056).

248817712 is an abundant number, since it is smaller than the sum of its proper divisors (350956400).

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

248817712 is a wasteful number, since it uses less digits than its factorization.

248817712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6440 counting only the distinct ones).

The product of its digits is 50176, while the sum is 40.

The square root of 248817712 is about 15773.9567642364. The cubic root of 248817712 is about 628.9658956860.

The spelling of 248817712 in words is "two hundred forty-eight million, eight hundred seventeen thousand, seven hundred twelve".