268815456 has 288 divisors, whose sum is σ = 973969920. Its totient is φ = 70626816.

The previous prime is 268815451. The next prime is 268815461. The reversal of 268815456 is 654518862.

268815456 is a `hidden beast` number, since 26 + 8 + 81 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (268815451) and next prime (268815461).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (460800) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268815451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021981 + ... + 1022243.

It is an arithmetic number, because the mean of its divisors is an integer number (3381840).

Almost surely, 2^268815456 is an apocalyptic number.

268815456 is a gapful number since it is divisible by the number (26) 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 268815456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486984960).

268815456 is an abundant number, since it is smaller than the sum of its proper divisors (705154464).

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

268815456 is a wasteful number, since it uses less digits than its factorization.

268815456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 268815456 is about 16395.5925784950. The cubic root of 268815456 is about 645.3838277924.

The spelling of 268815456 in words is "two hundred sixty-eight million, eight hundred fifteen thousand, four hundred fifty-six".