256003000 has 192 divisors, whose sum is σ = 711154080. Its totient is φ = 85248000.

The previous prime is 256002931. The next prime is 256003001. The reversal of 256003000 is 300652.

256003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×256003000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256003001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6918982 + ... + 6919018.

Almost surely, 2^256003000 is an apocalyptic number.

256003000 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 256003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355577040).

256003000 is an abundant number, since it is smaller than the sum of its proper divisors (455151080).

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

256003000 is a wasteful number, since it uses less digits than its factorization.

256003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 256003000 is about 16000.0937497253. The cubic root of 256003000 is about 634.9629010917.

Adding to 256003000 its reverse (300652), we get a palindrome (256303652).

The spelling of 256003000 in words is "two hundred fifty-six million, three thousand".