268458960 has 320 divisors, whose sum is σ = 1057075200. Its totient is φ = 54743040.

The previous prime is 268458941. The next prime is 268458973. The reversal of 268458960 is 69854862.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1348941 + ... + 1349139.

It is an arithmetic number, because the mean of its divisors is an integer number (3303360).

Almost surely, 2^268458960 is an apocalyptic number.

268458960 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 268458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528537600).

268458960 is an abundant number, since it is smaller than the sum of its proper divisors (788616240).

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

268458960 is a wasteful number, since it uses less digits than its factorization.

268458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 268458960 is about 16384.7172694557. The cubic root of 268458960 is about 645.0984045523.

The spelling of 268458960 in words is "two hundred sixty-eight million, four hundred fifty-eight thousand, nine hundred sixty".