256200000 has 336 divisors, whose sum is σ = 984187008. Its totient is φ = 57600000.

The previous prime is 256199981. The next prime is 256200011. The reversal of 256200000 is 2652.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4199970 + ... + 4200030.

It is an arithmetic number, because the mean of its divisors is an integer number (2929128).

Almost surely, 2^256200000 is an apocalyptic number.

256200000 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 256200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492093504).

256200000 is an abundant number, since it is smaller than the sum of its proper divisors (727987008).

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

256200000 is an frugal number, since it uses more digits than its factorization.

256200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 256200000 is about 16006.2487797735. The cubic root of 256200000 is about 635.1257320212.

Adding to 256200000 its reverse (2652), we get a palindrome (256202652).

The spelling of 256200000 in words is "two hundred fifty-six million, two hundred thousand".