256384144 has 15 divisors (see below), whose sum is σ = 496868403. Its totient is φ = 128160048.

The previous prime is 256384127. The next prime is 256384153. The reversal of 256384144 is 441483652.

The square root of 256384144 is 16012.

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

It is a super-2 number, since 2×256384144² = 131465658589225472, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 62047 + ... + 66049.

Almost surely, 2^256384144 is an apocalyptic number.

256384144 is the 16012-nd square number.

It is an amenable number.

256384144 is a deficient number, since it is larger than the sum of its proper divisors (240484259).

256384144 is an frugal number, since it uses more digits than its factorization.

256384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 4005 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The cubic root of 256384144 is about 635.2778613259.

It can be divided in two parts, 256 and 384144, that added together give a square (384400 = 620²).

The spelling of 256384144 in words is "two hundred fifty-six million, three hundred eighty-four thousand, one hundred forty-four".