248780224 has 112 divisors (see below), whose sum is σ = 648126720. Its totient is φ = 91791360.

The previous prime is 248780221. The next prime is 248780249. The reversal of 248780224 is 422087842.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248780221) 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, 92304 + ... + 94960.

Almost surely, 2^248780224 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 248780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324063360).

248780224 is an abundant number, since it is smaller than the sum of its proper divisors (399346496).

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

248780224 is a wasteful number, since it uses less digits than its factorization.

248780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 248780224 is about 15772.7684316990. The cubic root of 248780224 is about 628.9343064855.

The spelling of 248780224 in words is "two hundred forty-eight million, seven hundred eighty thousand, two hundred twenty-four".