256210000 has 50 divisors (see below), whose sum is σ = 620334242. Its totient is φ = 102480000.

The previous prime is 256209991. The next prime is 256210013. The reversal of 256210000 is 12652.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 144865296 + 111344704 = 12036^2 + 10552^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 2811 + ... + 22810.

Almost surely, 2^256210000 is an apocalyptic number.

256210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256210000 is an abundant number, since it is smaller than the sum of its proper divisors (364124242).

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

256210000 is an equidigital number, since it uses as much as digits as its factorization.

256210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25649 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 256210000 is about 16006.5611547265. The cubic root of 256210000 is about 635.1339953242.

Adding to 256210000 its reverse (12652), we get a palindrome (256222652).

The spelling of 256210000 in words is "two hundred fifty-six million, two hundred ten thousand".