268399440 has 160 divisors (see below), whose sum is σ = 932261760. Its totient is φ = 70972416.

The previous prime is 268399433. The next prime is 268399463. The reversal of 268399440 is 44993862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 295467 + ... + 296373.

It is an arithmetic number, because the mean of its divisors is an integer number (5826636).

Almost surely, 2^268399440 is an apocalyptic number.

268399440 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 268399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466130880).

268399440 is an abundant number, since it is smaller than the sum of its proper divisors (663862320).

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

268399440 is a wasteful number, since it uses less digits than its factorization.

268399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 268399440 is about 16382.9008420365. The cubic root of 268399440 is about 645.0507261349.

The spelling of 268399440 in words is "two hundred sixty-eight million, three hundred ninety-nine thousand, four hundred forty".