268455840 has 192 divisors, whose sum is σ = 905313024. Its totient is φ = 66633728.

The previous prime is 268455829. The next prime is 268455851. The reversal of 268455840 is 48554862.

It is an interprime number because it is at equal distance from previous prime (268455829) and next prime (268455851).

It is a super-3 number, since 3×268455840³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268455792 and 268455801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1362622 + ... + 1362818.

It is an arithmetic number, because the mean of its divisors is an integer number (4715172).

Almost surely, 2^268455840 is an apocalyptic number.

268455840 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 268455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452656512).

268455840 is an abundant number, since it is smaller than the sum of its proper divisors (636857184).

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

268455840 is a wasteful number, since it uses less digits than its factorization.

268455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 268455840 is about 16384.6220585035. The cubic root of 268455840 is about 645.0959054554.

The spelling of 268455840 in words is "two hundred sixty-eight million, four hundred fifty-five thousand, eight hundred forty".