256566414 has 64 divisors (see below), whose sum is σ = 588893760. Its totient is φ = 73820160.

The previous prime is 256566407. The next prime is 256566421. The reversal of 256566414 is 414665652.

It is an interprime number because it is at equal distance from previous prime (256566407) and next prime (256566421).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239472 + ... + 240540.

It is an arithmetic number, because the mean of its divisors is an integer number (9201465).

Almost surely, 2^256566414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256566414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294446880).

256566414 is an abundant number, since it is smaller than the sum of its proper divisors (332327346).

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

256566414 is a wasteful number, since it uses less digits than its factorization.

256566414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285.

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

The square root of 256566414 is about 16017.6906575199. The cubic root of 256566414 is about 635.4283707203.

It can be divided in two parts, 25656 and 6414, that multiplied together give a square (164557584 = 12828²).

The spelling of 256566414 in words is "two hundred fifty-six million, five hundred sixty-six thousand, four hundred fourteen".