256303440 has 200 divisors, whose sum is σ = 915093960. Its totient is φ = 66438144.

The previous prime is 256303429. The next prime is 256303451. The reversal of 256303440 is 44303652.

256303440 is a `hidden beast` number, since 25 + 630 + 3 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256303429) and next prime (256303451).

It can be written as a sum of positive squares in 4 ways, for example, as 66194496 + 190108944 = 8136^2 + 13788^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239226 + ... + 240294.

Almost surely, 2^256303440 is an apocalyptic number.

256303440 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 256303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457546980).

256303440 is an abundant number, since it is smaller than the sum of its proper divisors (658790520).

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

256303440 is a wasteful number, since it uses less digits than its factorization.

256303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 256303440 is about 16009.4796917326. The cubic root of 256303440 is about 635.2111972385.

The spelling of 256303440 in words is "two hundred fifty-six million, three hundred three thousand, four hundred forty".