256302540 has 216 divisors, whose sum is σ = 891749040. Its totient is φ = 59222016.

The previous prime is 256302539. The next prime is 256302569. The reversal of 256302540 is 45203652.

256302540 is a `hidden beast` number, since 2 + 5 + 630 + 25 + 4 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 676071 + ... + 676449.

Almost surely, 2^256302540 is an apocalyptic number.

256302540 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 256302540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445874520).

256302540 is an abundant number, since it is smaller than the sum of its proper divisors (635446500).

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

256302540 is a wasteful number, since it uses less digits than its factorization.

256302540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256302540 is about 16009.4515833616. The cubic root of 256302540 is about 635.2104537308.

The spelling of 256302540 in words is "two hundred fifty-six million, three hundred two thousand, five hundred forty".