256917200 has 60 divisors (see below), whose sum is σ = 622082208. Its totient is φ = 101961600.

The previous prime is 256917191. The next prime is 256917203. The reversal of 256917200 is 2719652.

256917200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256917203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49949 + ... + 54851.

Almost surely, 2^256917200 is an apocalyptic number.

256917200 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 256917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311041104).

256917200 is an abundant number, since it is smaller than the sum of its proper divisors (365165008).

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

256917200 is a wasteful number, since it uses less digits than its factorization.

256917200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 256917200 is about 16028.6368727974. The cubic root of 256917200 is about 635.7178316633.

The spelling of 256917200 in words is "two hundred fifty-six million, nine hundred seventeen thousand, two hundred".