248986224 has 100 divisors (see below), whose sum is σ = 752060496. Its totient is φ = 79377408.

The previous prime is 248986223. The next prime is 248986229. The reversal of 248986224 is 422689842.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 248986224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248986223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25632 + ... + 33984.

Almost surely, 2^248986224 is an apocalyptic number.

248986224 is a gapful number since it is divisible by the number (24) 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 248986224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376030248).

248986224 is an abundant number, since it is smaller than the sum of its proper divisors (503074272).

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

248986224 is a wasteful number, since it uses less digits than its factorization.

248986224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8381 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 248986224 is about 15779.2973227581. The cubic root of 248986224 is about 629.1078528672.

The spelling of 248986224 in words is "two hundred forty-eight million, nine hundred eighty-six thousand, two hundred twenty-four".