256000000 has 105 divisors (see below), whose sum is σ = 639972277. Its totient is φ = 102400000.

The previous prime is 255999983. The next prime is 256000001. The reversal of 256000000 is 652.

The square root of 256000000 is 16000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 224280576 + 31719424 = 14976^2 + 5632^2 .

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is not an unprimeable number, because it can be changed into a prime (256000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 51199998 + ... + 51200002.

Almost surely, 2^256000000 is an apocalyptic number.

256000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

256000000 is the 16000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256000000

256000000 is an abundant number, since it is smaller than the sum of its proper divisors (383972277).

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

256000000 is an frugal number, since it uses more digits than its factorization.

256000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 256000000 is about 634.9604207873.

Adding to 256000000 its reverse (652), we get a palindrome (256000652).

The spelling of 256000000 in words is "two hundred fifty-six million", and thus it is an aban number.