256553200 has 60 divisors (see below), whose sum is σ = 648828760. Its totient is φ = 97217280.

The previous prime is 256553197. The next prime is 256553203. The reversal of 256553200 is 2355652.

256553200 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 (256553197) and next prime (256553203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256553203) 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, 9279 + ... + 24478.

Almost surely, 2^256553200 is an apocalyptic number.

256553200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256553200 is an abundant number, since it is smaller than the sum of its proper divisors (392275560).

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

256553200 is a wasteful number, since it uses less digits than its factorization.

256553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33794 (or 33783 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 256553200 is about 16017.2781707755. The cubic root of 256553200 is about 635.4174616610.

The spelling of 256553200 in words is "two hundred fifty-six million, five hundred fifty-three thousand, two hundred".