268539456 has 56 divisors (see below), whose sum is σ = 717885280. Its totient is φ = 88584192.

The previous prime is 268539443. The next prime is 268539473. The reversal of 268539456 is 654935862.

It is a super-2 number, since 2×268539456² = 144226878857551872, which contains 22 as substring.

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

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, 11415 + ... + 25833.

It is an arithmetic number, because the mean of its divisors is an integer number (12819380).

Almost surely, 2^268539456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268539456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358942640).

268539456 is an abundant number, since it is smaller than the sum of its proper divisors (449345824).

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

268539456 is a wasteful number, since it uses less digits than its factorization.

268539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14531 (or 14521 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 268539456 is about 16387.1735207753. The cubic root of 268539456 is about 645.1628745578.

The spelling of 268539456 in words is "two hundred sixty-eight million, five hundred thirty-nine thousand, four hundred fifty-six".