268574800 has 180 divisors, whose sum is σ = 728072820. Its totient is φ = 95047680.

The previous prime is 268574777. The next prime is 268574819. The reversal of 268574800 is 8475862.

It can be written as a sum of positive squares in 18 ways, for example, as 243734544 + 24840256 = 15612^2 + 4984^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1960332 + ... + 1960468.

It is an arithmetic number, because the mean of its divisors is an integer number (4044849).

Almost surely, 2^268574800 is an apocalyptic number.

268574800 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 268574800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364036410).

268574800 is an abundant number, since it is smaller than the sum of its proper divisors (459498020).

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

268574800 is a wasteful number, since it uses less digits than its factorization.

268574800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 268574800 is about 16388.2518896922. The cubic root of 268574800 is about 645.1911778305.

The spelling of 268574800 in words is "two hundred sixty-eight million, five hundred seventy-four thousand, eight hundred".