256205200 has 60 divisors (see below), whose sum is σ = 618441940. Its totient is φ = 101998080.

The previous prime is 256205197. The next prime is 256205219. The reversal of 256205200 is 2502652.

It can be written as a sum of positive squares in 6 ways, for example, as 14837904 + 241367296 = 3852^2 + 15536^2 .

It is a super-2 number, since 2×256205200² = 131282209014080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90202 + ... + 92998.

Almost surely, 2^256205200 is an apocalyptic number.

256205200 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 256205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309220970).

256205200 is an abundant number, since it is smaller than the sum of its proper divisors (362236740).

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

256205200 is a wasteful number, since it uses less digits than its factorization.

256205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 256205200 is about 16006.4112155099. The cubic root of 256205200 is about 635.1300289656.

Adding to 256205200 its reverse (2502652), we get a palindrome (258707852).

The spelling of 256205200 in words is "two hundred fifty-six million, two hundred five thousand, two hundred".