256830000 has 200 divisors, whose sum is σ = 948296448. Its totient is φ = 58656000.

The previous prime is 256829981. The next prime is 256830017. The reversal of 256830000 is 38652.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209389 + ... + 210611.

Almost surely, 2^256830000 is an apocalyptic number.

256830000 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 256830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474148224).

256830000 is an abundant number, since it is smaller than the sum of its proper divisors (691466448).

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

256830000 is a wasteful number, since it uses less digits than its factorization.

256830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256830000 is about 16025.9165104527. The cubic root of 256830000 is about 635.6459007484.

Adding to 256830000 its reverse (38652), we get a palindrome (256868652).

The spelling of 256830000 in words is "two hundred fifty-six million, eight hundred thirty thousand".