268766400 has 336 divisors, whose sum is σ = 1063304960. Its totient is φ = 58060800.

The previous prime is 268766387. The next prime is 268766479. The reversal of 268766400 is 4667862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 638190 + ... + 638610.

Almost surely, 2^268766400 is an apocalyptic number.

268766400 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 268766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531652480).

268766400 is an abundant number, since it is smaller than the sum of its proper divisors (794538560).

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

268766400 is a wasteful number, since it uses less digits than its factorization.

268766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 268766400 is about 16394.0964984350. The cubic root of 268766400 is about 645.3445668119.

The spelling of 268766400 in words is "two hundred sixty-eight million, seven hundred sixty-six thousand, four hundred".