256408200 has 192 divisors, whose sum is σ = 893692800. Its totient is φ = 67564800.

The previous prime is 256408153. The next prime is 256408231. The reversal of 256408200 is 2804652.

256408200 is a `hidden beast` number, since 2 + 56 + 408 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555970 + ... + 556430.

It is an arithmetic number, because the mean of its divisors is an integer number (4654650).

Almost surely, 2^256408200 is an apocalyptic number.

256408200 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 256408200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

256408200 is an abundant number, since it is smaller than the sum of its proper divisors (637284600).

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

256408200 is a wasteful number, since it uses less digits than its factorization.

256408200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 256408200 is about 16012.7511689903. The cubic root of 256408200 is about 635.2977296454.

The spelling of 256408200 in words is "two hundred fifty-six million, four hundred eight thousand, two hundred".