256224040 has 32 divisors (see below), whose sum is σ = 577008360. Its totient is φ = 102400000.

The previous prime is 256224037. The next prime is 256224043. The reversal of 256224040 is 40422652.

256224040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256224037) and next prime (256224043).

It can be written as a sum of positive squares in 4 ways, for example, as 219573124 + 36650916 = 14818^2 + 6054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 256223996 and 256224014.

It is not an unprimeable number, because it can be changed into a prime (256224043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62040 + ... + 66040.

Almost surely, 2^256224040 is an apocalyptic number.

256224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256224040 is an abundant number, since it is smaller than the sum of its proper divisors (320784320).

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

256224040 is a wasteful number, since it uses less digits than its factorization.

256224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 256224040 is about 16006.9997188730. Note that the first 3 decimals coincide. The cubic root of 256224040 is about 635.1455966388.

Adding to 256224040 its reverse (40422652), we get a palindrome (296646692).

The spelling of 256224040 in words is "two hundred fifty-six million, two hundred twenty-four thousand, forty".