268206400 has 252 divisors, whose sum is σ = 840187296. Its totient is φ = 83328000.

The previous prime is 268206391. The next prime is 268206401. The reversal of 268206400 is 4602862.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268206401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862245 + ... + 862555.

Almost surely, 2^268206400 is an apocalyptic number.

268206400 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 268206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420093648).

268206400 is an abundant number, since it is smaller than the sum of its proper divisors (571980896).

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

268206400 is a wasteful number, since it uses less digits than its factorization.

268206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 268206400 is about 16377.0082737965. The cubic root of 268206400 is about 644.8960431781.

The spelling of 268206400 in words is "two hundred sixty-eight million, two hundred six thousand, four hundred".