256206000 has 80 divisors (see below), whose sum is σ = 826027488. Its totient is φ = 68320000.

The previous prime is 256205969. The next prime is 256206017. The reversal of 256206000 is 602652.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 15351 + ... + 27350.

Almost surely, 2^256206000 is an apocalyptic number.

256206000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256206000 is an abundant number, since it is smaller than the sum of its proper divisors (569821488).

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

256206000 is a wasteful number, since it uses less digits than its factorization.

256206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42727 (or 42711 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 256206000 is about 16006.4362054768. The cubic root of 256206000 is about 635.1306900288.

Adding to 256206000 its reverse (602652), we get a palindrome (256808652).

The spelling of 256206000 in words is "two hundred fifty-six million, two hundred six thousand".