248514816 has 144 divisors (see below), whose sum is σ = 753500160. Its totient is φ = 71976960.

The previous prime is 248514811. The next prime is 248514841. The reversal of 248514816 is 618415842.

It is a super-2 number, since 2×248514816² = 123519227543027712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248514811) 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, 193665 + ... + 194943.

It is an arithmetic number, because the mean of its divisors is an integer number (5232640).

Almost surely, 2^248514816 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 248514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376750080).

248514816 is an abundant number, since it is smaller than the sum of its proper divisors (504985344).

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

248514816 is a wasteful number, since it uses less digits than its factorization.

248514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 248514816 is about 15764.3526984142. The cubic root of 248514816 is about 628.7105700630.

The spelling of 248514816 in words is "two hundred forty-eight million, five hundred fourteen thousand, eight hundred sixteen".