256291200 has 288 divisors, whose sum is σ = 998875800. Its totient is φ = 62054400.

The previous prime is 256291181. The next prime is 256291297. The reversal of 256291200 is 2192652.

256291200 is a `hidden beast` number, since 25 + 629 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316396 + ... + 317204.

Almost surely, 2^256291200 is an apocalyptic number.

256291200 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 256291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499437900).

256291200 is an abundant number, since it is smaller than the sum of its proper divisors (742584600).

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

256291200 is a wasteful number, since it uses less digits than its factorization.

256291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 256291200 is about 16009.0974136583. The cubic root of 256291200 is about 635.2010853846.

The spelling of 256291200 in words is "two hundred fifty-six million, two hundred ninety-one thousand, two hundred".