256810410 has 96 divisors (see below), whose sum is σ = 704471040. Its totient is φ = 64779264.

The previous prime is 256810391. The next prime is 256810439. The reversal of 256810410 is 14018652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200151 + ... + 201429.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^256810410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256810410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

256810410 is an abundant number, since it is smaller than the sum of its proper divisors (447660630).

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

256810410 is a wasteful number, since it uses less digits than its factorization.

256810410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 256810410 is about 16025.3053013039. The cubic root of 256810410 is about 635.6297387998.

The spelling of 256810410 in words is "two hundred fifty-six million, eight hundred ten thousand, four hundred ten".