256314240 has 512 divisors, whose sum is σ = 1124121600. Its totient is φ = 53747712.

The previous prime is 256314221. The next prime is 256314241. The reversal of 256314240 is 42413652.

256314240 is a `hidden beast` number, since 2 + 5 + 631 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256314241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572399 + ... + 1572561.

It is an arithmetic number, because the mean of its divisors is an integer number (2195550).

Almost surely, 2^256314240 is an apocalyptic number.

256314240 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 256314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562060800).

256314240 is an abundant number, since it is smaller than the sum of its proper divisors (867807360).

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

256314240 is a wasteful number, since it uses less digits than its factorization.

256314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256314240 is about 16009.8169883356. The cubic root of 256314240 is about 635.2201191952.

Adding to 256314240 its reverse (42413652), we get a palindrome (298727892).

The spelling of 256314240 in words is "two hundred fifty-six million, three hundred fourteen thousand, two hundred forty".