268795440 has 60 divisors (see below), whose sum is σ = 902707104. Its totient is φ = 71678592.

The previous prime is 268795427. The next prime is 268795459. The reversal of 268795440 is 44597862.

It is a happy number.

268795440 is a `hidden beast` number, since 26 + 87 + 9 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185944 + ... + 187383.

Almost surely, 2^268795440 is an apocalyptic number.

268795440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268795440 is an abundant number, since it is smaller than the sum of its proper divisors (633911664).

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

268795440 is a wasteful number, since it uses less digits than its factorization.

268795440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373346 (or 373337 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 268795440 is about 16394.9821591852. The cubic root of 268795440 is about 645.3678089672.

The spelling of 268795440 in words is "two hundred sixty-eight million, seven hundred ninety-five thousand, four hundred forty".