256244040 has 128 divisors (see below), whose sum is σ = 919900800. Its totient is φ = 63072000.

The previous prime is 256244033. The next prime is 256244057. The reversal of 256244040 is 40442652.

256244040 is a `hidden beast` number, since 256 + 2 + 4 + 404 + 0 = 666.

It is a super-2 number, since 2×256244040² = 131322016071043200, which contains 22 as substring.

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 = 256243995 and 256244013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4915 + ... + 23165.

It is an arithmetic number, because the mean of its divisors is an integer number (7186725).

Almost surely, 2^256244040 is an apocalyptic number.

256244040 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 256244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459950400).

256244040 is an abundant number, since it is smaller than the sum of its proper divisors (663656760).

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

256244040 is a wasteful number, since it uses less digits than its factorization.

256244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284 (or 18274 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 256244040 is about 16007.6244333755. The cubic root of 256244040 is about 635.1621219961.

Adding to 256244040 its reverse (40442652), we get a palindrome (296686692).

The spelling of 256244040 in words is "two hundred fifty-six million, two hundred forty-four thousand, forty".