248564224 has 40 divisors (see below), whose sum is σ = 510104628. Its totient is φ = 120913920.

The previous prime is 248564207. The next prime is 248564237. The reversal of 248564224 is 422465842.

It can be written as a sum of positive squares in 2 ways, for example, as 248377600 + 186624 = 15760^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12384 + ... + 25504.

Almost surely, 2^248564224 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 248564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255052314).

248564224 is an abundant number, since it is smaller than the sum of its proper divisors (261540404).

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

248564224 is an equidigital number, since it uses as much as digits as its factorization.

248564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13176 (or 13160 counting only the distinct ones).

The product of its digits is 122880, while the sum is 37.

The square root of 248564224 is about 15765.9197004171. The cubic root of 248564224 is about 628.7522326004.

The spelling of 248564224 in words is "two hundred forty-eight million, five hundred sixty-four thousand, two hundred twenty-four".