268993440 has 192 divisors, whose sum is σ = 955825920. Its totient is φ = 70640640.

The previous prime is 268993433. The next prime is 268993447. The reversal of 268993440 is 44399862.

It is an interprime number because it is at equal distance from previous prime (268993433) and next prime (268993447).

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

It is not an unprimeable number, because it can be changed into a prime (268993447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306282 + ... + 307158.

It is an arithmetic number, because the mean of its divisors is an integer number (4978260).

Almost surely, 2^268993440 is an apocalyptic number.

268993440 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 268993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477912960).

268993440 is an abundant number, since it is smaller than the sum of its proper divisors (686832480).

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

268993440 is a wasteful number, since it uses less digits than its factorization.

268993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

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

The square root of 268993440 is about 16401.0194805079. The cubic root of 268993440 is about 645.5262336082.

The spelling of 268993440 in words is "two hundred sixty-eight million, nine hundred ninety-three thousand, four hundred forty".