268844500 has 48 divisors (see below), whose sum is σ = 607435920. Its totient is φ = 103824000.

The previous prime is 268844441. The next prime is 268844531. The reversal of 268844500 is 5448862.

It can be written as a sum of positive squares in 8 ways, for example, as 87834384 + 181010116 = 9372^2 + 13454^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268844500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5230 + ... + 23770.

It is an arithmetic number, because the mean of its divisors is an integer number (12654915).

Almost surely, 2^268844500 is an apocalyptic number.

268844500 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 268844500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303717960).

268844500 is an abundant number, since it is smaller than the sum of its proper divisors (338591420).

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

268844500 is a wasteful number, since it uses less digits than its factorization.

268844500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18589 (or 18577 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 268844500 is about 16396.4782804113. The cubic root of 268844500 is about 645.4070703211.

The spelling of 268844500 in words is "two hundred sixty-eight million, eight hundred forty-four thousand, five hundred".