268431360 has 208 divisors, whose sum is σ = 912936096. Its totient is φ = 67108864.

The previous prime is 268431353. The next prime is 268431407. The reversal of 268431360 is 63134862.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2, base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 268431360 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044352 + ... + 1044608.

Almost surely, 2^268431360 is an apocalyptic number.

268431360 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 268431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468048).

268431360 is an abundant number, since it is smaller than the sum of its proper divisors (644504736).

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

268431360 is a wasteful number, since it uses less digits than its factorization.

268431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 268431360 is about 16383.8749995232. The cubic root of 268431360 is about 645.0762964851.

It can be divided in two parts, 26843 and 1360, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 268431360 in words is "two hundred sixty-eight million, four hundred thirty-one thousand, three hundred sixty".