268252944 has 80 divisors (see below), whose sum is σ = 733286400. Its totient is φ = 84267648.

The previous prime is 268252931. The next prime is 268252949. The reversal of 268252944 is 449252862.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268252896 and 268252905.

It is not an unprimeable number, because it can be changed into a prime (268252949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202717 + ... + 204035.

It is an arithmetic number, because the mean of its divisors is an integer number (9166080).

Almost surely, 2^268252944 is an apocalyptic number.

268252944 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 268252944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366643200).

268252944 is an abundant number, since it is smaller than the sum of its proper divisors (465033456).

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

268252944 is a wasteful number, since it uses less digits than its factorization.

268252944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 268252944 is about 16378.4292287142. The cubic root of 268252944 is about 644.9333456751.

The spelling of 268252944 in words is "two hundred sixty-eight million, two hundred fifty-two thousand, nine hundred forty-four".