268460 has 24 divisors (see below), whose sum is σ = 583296. Its totient is φ = 103680.

The previous prime is 268459. The next prime is 268487. The reversal of 268460 is 64862.

268460 = T₆₃ + T₆₄ + ... + T₁₂₂.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2²⁶⁸⁴⁶⁰ is an apocalyptic number.

268460 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 268460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648).

268460 is an abundant number, since it is smaller than the sum of its proper divisors (314836).

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

268460 is a wasteful number, since it uses less digits than its factorization.

268460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 268460 is about 518.1312575014. The cubic root of 268460 is about 64.5099237580.

It can be divided in two parts, 2684 and 60, that added together give a cube (2744 = 14³).

The spelling of 268460 in words is "two hundred sixty-eight thousand, four hundred sixty".