268260440 has 64 divisors (see below), whose sum is σ = 713620800. Its totient is φ = 88800768.

The previous prime is 268260437. The next prime is 268260451. The reversal of 268260440 is 44062862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 268260397 and 268260406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8399 + ... + 24638.

It is an arithmetic number, because the mean of its divisors is an integer number (11150325).

Almost surely, 2^268260440 is an apocalyptic number.

268260440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268260440 is an abundant number, since it is smaller than the sum of its proper divisors (445360360).

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

268260440 is a wasteful number, since it uses less digits than its factorization.

268260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33084 (or 33080 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 268260440 is about 16378.6580646889. The cubic root of 268260440 is about 644.9393529100.

The spelling of 268260440 in words is "two hundred sixty-eight million, two hundred sixty thousand, four hundred forty".