256218000 has 80 divisors (see below), whose sum is σ = 826066176. Its totient is φ = 68323200.

The previous prime is 256217993. The next prime is 256218013. The reversal of 256218000 is 812652.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 15352 + ... + 27351.

Almost surely, 2^256218000 is an apocalyptic number.

256218000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256218000 is an abundant number, since it is smaller than the sum of its proper divisors (569848176).

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

256218000 is a wasteful number, since it uses less digits than its factorization.

256218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42729 (or 42713 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 256218000 is about 16006.8110502998. The cubic root of 256218000 is about 635.1406058118.

The spelling of 256218000 in words is "two hundred fifty-six million, two hundred eighteen thousand".