256615200 has 216 divisors, whose sum is σ = 936854100. Its totient is φ = 66017280.

The previous prime is 256615193. The next prime is 256615207. The reversal of 256615200 is 2516652.

256615200 is a `hidden beast` number, since 25 + 6 + 615 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256615193) and next prime (256615207).

It can be written as a sum of positive squares in 6 ways, for example, as 179667216 + 76947984 = 13404^2 + 8772^2 .

It is not an unprimeable number, because it can be changed into a prime (256615207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 208186 + ... + 209414.

Almost surely, 2^256615200 is an apocalyptic number.

256615200 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 256615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468427050).

256615200 is an abundant number, since it is smaller than the sum of its proper divisors (680238900).

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

256615200 is a wasteful number, since it uses less digits than its factorization.

256615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 256615200 is about 16019.2134638377. The cubic root of 256615200 is about 635.4686436505.

It can be divided in two parts, 2566 and 15200, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 256615200 in words is "two hundred fifty-six million, six hundred fifteen thousand, two hundred".