256201000 has 64 divisors (see below), whose sum is σ = 654039360. Its totient is φ = 93160000.

The previous prime is 256200991. The next prime is 256201013. The reversal of 256201000 is 102652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646 + ... + 22645.

It is an arithmetic number, because the mean of its divisors is an integer number (10219365).

Almost surely, 2^256201000 is an apocalyptic number.

256201000 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 256201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327019680).

256201000 is an abundant number, since it is smaller than the sum of its proper divisors (397838360).

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

256201000 is a wasteful number, since it uses less digits than its factorization.

256201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 256201000 is about 16006.2800175431. The cubic root of 256201000 is about 635.1265583612.

Adding to 256201000 its reverse (102652), we get a palindrome (256303652).

The spelling of 256201000 in words is "two hundred fifty-six million, two hundred one thousand".