252982848 has 112 divisors (see below), whose sum is σ = 714329280. Its totient is φ = 78741504.

The previous prime is 252982817. The next prime is 252982871. The reversal of 252982848 is 848289252.

It is a happy number.

It is a super-2 number, since 2×252982848² = 128000642764382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 252982797 and 252982806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584040 + ... + 584472.

It is an arithmetic number, because the mean of its divisors is an integer number (6377940).

Almost surely, 2^252982848 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 252982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357164640).

252982848 is an abundant number, since it is smaller than the sum of its proper divisors (461346432).

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

252982848 is a wasteful number, since it uses less digits than its factorization.

252982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 252982848 is about 15905.4345429479. The cubic root of 252982848 is about 632.4560613553.

The spelling of 252982848 in words is "two hundred fifty-two million, nine hundred eighty-two thousand, eight hundred forty-eight".