248883516 has 168 divisors, whose sum is σ = 760203360. Its totient is φ = 69797376.

The previous prime is 248883487. The next prime is 248883541. The reversal of 248883516 is 615388842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1816600 + ... + 1816736.

It is an arithmetic number, because the mean of its divisors is an integer number (4525020).

Almost surely, 2^248883516 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 248883516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380101680).

248883516 is an abundant number, since it is smaller than the sum of its proper divisors (511319844).

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

248883516 is a wasteful number, since it uses less digits than its factorization.

248883516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 248883516 is about 15776.0424695169. The cubic root of 248883516 is about 629.0213376444.

The spelling of 248883516 in words is "two hundred forty-eight million, eight hundred eighty-three thousand, five hundred sixteen".