268186464 has 288 divisors, whose sum is σ = 975985920. Its totient is φ = 70543872.

The previous prime is 268186423. The next prime is 268186483. The reversal of 268186464 is 464681862.

268186464 is a `hidden beast` number, since 2 + 6 + 8 + 186 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707427 + ... + 707805.

It is an arithmetic number, because the mean of its divisors is an integer number (3388840).

Almost surely, 2^268186464 is an apocalyptic number.

268186464 is a gapful number since it is divisible by the number (24) 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 268186464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487992960).

268186464 is an abundant number, since it is smaller than the sum of its proper divisors (707799456).

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

268186464 is a wasteful number, since it uses less digits than its factorization.

268186464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 268186464 is about 16376.3996043086. The cubic root of 268186464 is about 644.8800642330.

The spelling of 268186464 in words is "two hundred sixty-eight million, one hundred eighty-six thousand, four hundred sixty-four".