256057200 has 300 divisors, whose sum is σ = 1051180240. Its totient is φ = 58475520.

The previous prime is 256057187. The next prime is 256057223. The reversal of 256057200 is 2750652.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226236 + ... + 227364.

Almost surely, 2^256057200 is an apocalyptic number.

256057200 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 256057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525590120).

256057200 is an abundant number, since it is smaller than the sum of its proper divisors (795123040).

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

256057200 is a wasteful number, since it uses less digits than its factorization.

256057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 256057200 is about 16001.7874001625. The cubic root of 256057200 is about 635.0077085885.

The spelling of 256057200 in words is "two hundred fifty-six million, fifty-seven thousand, two hundred".