256362144 has 24 divisors (see below), whose sum is σ = 672950880. Its totient is φ = 85454016.

The previous prime is 256362137. The next prime is 256362149. The reversal of 256362144 is 441263652.

256362144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (256362149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1335124 + ... + 1335315.

It is an arithmetic number, because the mean of its divisors is an integer number (28039620).

Almost surely, 2^256362144 is an apocalyptic number.

256362144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256362144 is an abundant number, since it is smaller than the sum of its proper divisors (416588736).

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

256362144 is a wasteful number, since it uses less digits than its factorization.

256362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670452 (or 2670444 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 256362144 is about 16011.3130005006. The cubic root of 256362144 is about 635.2596900088.

The spelling of 256362144 in words is "two hundred fifty-six million, three hundred sixty-two thousand, one hundred forty-four".