268781440 has 64 divisors (see below), whose sum is σ = 644656320. Its totient is φ = 107161600.

The previous prime is 268781437. The next prime is 268781453. The reversal of 268781440 is 44187862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 268781393 and 268781402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294585 + ... + 295495.

It is an arithmetic number, because the mean of its divisors is an integer number (10072755).

Almost surely, 2^268781440 is an apocalyptic number.

268781440 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 268781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322328160).

268781440 is an abundant number, since it is smaller than the sum of its proper divisors (375874880).

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

268781440 is an equidigital number, since it uses as much as digits as its factorization.

268781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 268781440 is about 16394.5551937221. Note that the first 3 decimals coincide. The cubic root of 268781440 is about 645.3566042804.

The spelling of 268781440 in words is "two hundred sixty-eight million, seven hundred eighty-one thousand, four hundred forty".