268213444 has 24 divisors (see below), whose sum is σ = 483923160. Its totient is φ = 129977856.

The previous prime is 268213441. The next prime is 268213447. The reversal of 268213444 is 444312862.

It is an interprime number because it is at equal distance from previous prime (268213441) and next prime (268213447).

It can be written as a sum of positive squares in 4 ways, for example, as 33756100 + 234457344 = 5810^2 + 15312^2 .

It is a super-2 number, since 2×268213444² = 143876903084682272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268213441) 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 7 ways as a sum of consecutive naturals, for example, 36444 + ... + 43180.

It is an arithmetic number, because the mean of its divisors is an integer number (20163465).

Almost surely, 2^268213444 is an apocalyptic number.

It is an amenable number.

268213444 is a deficient number, since it is larger than the sum of its proper divisors (215709716).

268213444 is a wasteful number, since it uses less digits than its factorization.

268213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7045 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 268213444 is about 16377.2233299787. The cubic root of 268213444 is about 644.9016888400.

The spelling of 268213444 in words is "two hundred sixty-eight million, two hundred thirteen thousand, four hundred forty-four".