256980414 has 16 divisors (see below), whose sum is σ = 515780352. Its totient is φ = 85356888.

The previous prime is 256980413. The next prime is 256980431. The reversal of 256980414 is 414089652.

It is a super-2 number, since 2×256980414² = 132077866359222792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256980413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73974 + ... + 77369.

It is an arithmetic number, because the mean of its divisors is an integer number (32236272).

Almost surely, 2^256980414 is an apocalyptic number.

256980414 is an abundant number, since it is smaller than the sum of its proper divisors (258799938).

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

256980414 is a wasteful number, since it uses less digits than its factorization.

256980414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151631.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 256980414 is about 16030.6086596860. The cubic root of 256980414 is about 635.7699664517.

The spelling of 256980414 in words is "two hundred fifty-six million, nine hundred eighty thousand, four hundred fourteen".