268484500 has 48 divisors (see below), whose sum is σ = 590990400. Its totient is φ = 106548000.

The previous prime is 268484483. The next prime is 268484501. The reversal of 268484500 is 5484862.

It is a self number, because there is not a number n which added to its sum of digits gives 268484500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268484501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63451 + ... + 67549.

It is an arithmetic number, because the mean of its divisors is an integer number (12312300).

Almost surely, 2^268484500 is an apocalyptic number.

268484500 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 268484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295495200).

268484500 is an abundant number, since it is smaller than the sum of its proper divisors (322505900).

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

268484500 is a wasteful number, since it uses less digits than its factorization.

268484500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4237 counting only the distinct ones).

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

The square root of 268484500 is about 16385.4966357447. The cubic root of 268484500 is about 645.1188611748.

The spelling of 268484500 in words is "two hundred sixty-eight million, four hundred eighty-four thousand, five hundred".