256656414 has 48 divisors (see below), whose sum is σ = 602672400. Its totient is φ = 72648576.

The previous prime is 256656403. The next prime is 256656419. The reversal of 256656414 is 414656652.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256656419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28042 + ... + 36050.

It is an arithmetic number, because the mean of its divisors is an integer number (12555675).

Almost surely, 2^256656414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256656414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301336200).

256656414 is an abundant number, since it is smaller than the sum of its proper divisors (346015986).

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

256656414 is a wasteful number, since it uses less digits than its factorization.

256656414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8130 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 256656414 is about 16020.4998049374. The cubic root of 256656414 is about 635.5026619039.

The spelling of 256656414 in words is "two hundred fifty-six million, six hundred fifty-six thousand, four hundred fourteen".