268481440 has 24 divisors (see below), whose sum is σ = 634287780. Its totient is φ = 107392512.

The previous prime is 268481431. The next prime is 268481441. The reversal of 268481440 is 44184862.

It can be written as a sum of positive squares in 2 ways, for example, as 263867536 + 4613904 = 16244^2 + 2148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268481440.

It is not an unprimeable number, because it can be changed into a prime (268481441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 838845 + ... + 839164.

Almost surely, 2^268481440 is an apocalyptic number.

268481440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268481440 is an abundant number, since it is smaller than the sum of its proper divisors (365806340).

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

268481440 is a wasteful number, since it uses less digits than its factorization.

268481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678024 (or 1678016 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 268481440 is about 16385.4032602191. The cubic root of 268481440 is about 645.1164102931.

The spelling of 268481440 in words is "two hundred sixty-eight million, four hundred eighty-one thousand, four hundred forty".