256168500 has 192 divisors, whose sum is σ = 881147904. Its totient is φ = 56592000.

The previous prime is 256168489. The next prime is 256168541. The reversal of 256168500 is 5861652.

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 63 ways as a sum of consecutive naturals, for example, 325107 + ... + 325893.

It is an arithmetic number, because the mean of its divisors is an integer number (4589312).

Almost surely, 2^256168500 is an apocalyptic number.

256168500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256168500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440573952).

256168500 is an abundant number, since it is smaller than the sum of its proper divisors (624979404).

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

256168500 is a wasteful number, since it uses less digits than its factorization.

256168500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 256168500 is about 16005.2647588223. The cubic root of 256168500 is about 635.0997012112.

The spelling of 256168500 in words is "two hundred fifty-six million, one hundred sixty-eight thousand, five hundred".