268354400 has 144 divisors (see below), whose sum is σ = 696049200. Its totient is φ = 100853760.

The previous prime is 268354399. The next prime is 268354421. The reversal of 268354400 is 4453862.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997466 + ... + 997734.

It is an arithmetic number, because the mean of its divisors is an integer number (4833675).

Almost surely, 2^268354400 is an apocalyptic number.

268354400 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 268354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348024600).

268354400 is an abundant number, since it is smaller than the sum of its proper divisors (427694800).

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

268354400 is a wasteful number, since it uses less digits than its factorization.

268354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 268354400 is about 16381.5261804265. The cubic root of 268354400 is about 645.0146422171.

The spelling of 268354400 in words is "two hundred sixty-eight million, three hundred fifty-four thousand, four hundred".