268356500 has 48 divisors (see below), whose sum is σ = 587692560. Its totient is φ = 107049600.

The previous prime is 268356493. The next prime is 268356503. The reversal of 268356500 is 5653862.

It can be written as a sum of positive squares in 8 ways, for example, as 125171344 + 143185156 = 11188^2 + 11966^2 .

It is a super-2 number, since 2×268356500² = 144030422184500000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268356503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354122 + ... + 354878.

It is an arithmetic number, because the mean of its divisors is an integer number (12243595).

Almost surely, 2^268356500 is an apocalyptic number.

268356500 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 268356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293846280).

268356500 is an abundant number, since it is smaller than the sum of its proper divisors (319336060).

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

268356500 is a wasteful number, since it uses less digits than its factorization.

268356500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 268356500 is about 16381.5902768931. The cubic root of 268356500 is about 645.0163247275.

The spelling of 268356500 in words is "two hundred sixty-eight million, three hundred fifty-six thousand, five hundred".