256541040 has 480 divisors, whose sum is σ = 1088501760. Its totient is φ = 54369792.

The previous prime is 256540979. The next prime is 256541069. The reversal of 256541040 is 40145652.

256541040 is a `hidden beast` number, since 2 + 5 + 654 + 1 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 256540995 and 256541013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5458297 + ... + 5458343.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^256541040 is an apocalyptic number.

256541040 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 256541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544250880).

256541040 is an abundant number, since it is smaller than the sum of its proper divisors (831960720).

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

256541040 is a wasteful number, since it uses less digits than its factorization.

256541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 256541040 is about 16016.8985761913. The cubic root of 256541040 is about 635.4074224198.

Adding to 256541040 its reverse (40145652), we get a palindrome (296686692).

It can be divided in two parts, 2565 and 41040, that multiplied together give a square (105267600 = 10260²).

The spelling of 256541040 in words is "two hundred fifty-six million, five hundred forty-one thousand, forty".