256515200 has 96 divisors (see below), whose sum is σ = 667182000. Its totient is φ = 97182720.

The previous prime is 256515197. The next prime is 256515241. The reversal of 256515200 is 2515652.

It is a self number, because there is not a number n which added to its sum of digits gives 256515200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58691 + ... + 62909.

Almost surely, 2^256515200 is an apocalyptic number.

256515200 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 256515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333591000).

256515200 is an abundant number, since it is smaller than the sum of its proper divisors (410666800).

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

256515200 is a wasteful number, since it uses less digits than its factorization.

256515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 256515200 is about 16016.0919078282. The cubic root of 256515200 is about 635.3860879787.

The spelling of 256515200 in words is "two hundred fifty-six million, five hundred fifteen thousand, two hundred".