256351800 has 192 divisors, whose sum is σ = 848160000. Its totient is φ = 63866880.

The previous prime is 256351787. The next prime is 256351801. The reversal of 256351800 is 8153652.

It is a super-3 number, since 3×256351800³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256351801) 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, 1288101 + ... + 1288299.

It is an arithmetic number, because the mean of its divisors is an integer number (4417500).

Almost surely, 2^256351800 is an apocalyptic number.

256351800 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 256351800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080000).

256351800 is an abundant number, since it is smaller than the sum of its proper divisors (591808200).

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

256351800 is a wasteful number, since it uses less digits than its factorization.

256351800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 256351800 is about 16010.9899756386. The cubic root of 256351800 is about 635.2511458266.

The spelling of 256351800 in words is "two hundred fifty-six million, three hundred fifty-one thousand, eight hundred".