256747200 has 168 divisors, whose sum is σ = 853226640. Its totient is φ = 67584000.

The previous prime is 256747199. The next prime is 256747217. The reversal of 256747200 is 2747652.

256747200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426900 + ... + 427500.

It is an arithmetic number, because the mean of its divisors is an integer number (5078730).

Almost surely, 2^256747200 is an apocalyptic number.

256747200 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 256747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426613320).

256747200 is an abundant number, since it is smaller than the sum of its proper divisors (596479440).

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

256747200 is a wasteful number, since it uses less digits than its factorization.

256747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 256747200 is about 16023.3329866167. The cubic root of 256747200 is about 635.5775843036.

The spelling of 256747200 in words is "two hundred fifty-six million, seven hundred forty-seven thousand, two hundred".