268237440 has 384 divisors, whose sum is σ = 1025956800. Its totient is φ = 66189312.

The previous prime is 268237391. The next prime is 268237447. The reversal of 268237440 is 44732862.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268237395 and 268237404.

It is not an unprimeable number, because it can be changed into a prime (268237447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6238059 + ... + 6238101.

Almost surely, 2^268237440 is an apocalyptic number.

268237440 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 268237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512978400).

268237440 is an abundant number, since it is smaller than the sum of its proper divisors (757719360).

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

268237440 is a wasteful number, since it uses less digits than its factorization.

268237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 268237440 is about 16377.9559164140. The cubic root of 268237440 is about 644.9209205375.

The spelling of 268237440 in words is "two hundred sixty-eight million, two hundred thirty-seven thousand, four hundred forty".