268440000 has 140 divisors (see below), whose sum is σ = 887922024. Its totient is φ = 71552000.

The previous prime is 268439971. The next prime is 268440017. The reversal of 268440000 is 44862.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118882 + ... + 121118.

Almost surely, 2^268440000 is an apocalyptic number.

268440000 is a gapful number since it is divisible by the number (20) 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 268440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443961012).

268440000 is an abundant number, since it is smaller than the sum of its proper divisors (619482024).

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

268440000 is an equidigital number, since it uses as much as digits as its factorization.

268440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 268440000 is about 16384.1386712882. The cubic root of 268440000 is about 645.0832174343.

Adding to 268440000 its reverse (44862), we get a palindrome (268484862).

The spelling of 268440000 in words is "two hundred sixty-eight million, four hundred forty thousand".