268040500 has 192 divisors, whose sum is σ = 742629888. Its totient is φ = 82252800.

The previous prime is 268040489. The next prime is 268040501. The reversal of 268040500 is 5040862.

It is a super-4 number, since 4×268040500⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268040501) 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 63 ways as a sum of consecutive naturals, for example, 1956432 + ... + 1956568.

It is an arithmetic number, because the mean of its divisors is an integer number (3867864).

Almost surely, 2^268040500 is an apocalyptic number.

268040500 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 268040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371314944).

268040500 is an abundant number, since it is smaller than the sum of its proper divisors (474589388).

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

268040500 is a wasteful number, since it uses less digits than its factorization.

268040500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 268040500 is about 16371.9424626402. The cubic root of 268040500 is about 644.7630481906.

The spelling of 268040500 in words is "two hundred sixty-eight million, forty thousand, five hundred".