248866304 has 40 divisors (see below), whose sum is σ = 502473048. Its totient is φ = 123125760.

The previous prime is 248866297. The next prime is 248866309. The reversal of 248866304 is 403668842.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248866309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47159 + ... + 52169.

Almost surely, 2^248866304 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 248866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251236524).

248866304 is an abundant number, since it is smaller than the sum of its proper divisors (253606744).

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

248866304 is an frugal number, since it uses more digits than its factorization.

248866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 248866304 is about 15775.4969493832. The cubic root of 248866304 is about 629.0068369320.

The spelling of 248866304 in words is "two hundred forty-eight million, eight hundred sixty-six thousand, three hundred four".