240080256 has 384 divisors, whose sum is σ = 842063040. Its totient is φ = 64880640.

The previous prime is 240080249. The next prime is 240080261. The reversal of 240080256 is 652080042.

240080256 is a `hidden beast` number, since 2 + 400 + 8 + 0 + 256 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5855596 + ... + 5855636.

Almost surely, 2^240080256 is an apocalyptic number.

240080256 is a gapful number since it is divisible by the number (26) 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 240080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421031520).

240080256 is an abundant number, since it is smaller than the sum of its proper divisors (601982784).

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

240080256 is a wasteful number, since it uses less digits than its factorization.

240080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 240080256 is about 15494.5234195828. The cubic root of 240080256 is about 621.5157640408.

The spelling of 240080256 in words is "two hundred forty million, eighty thousand, two hundred fifty-six".