256804314 has 32 divisors (see below), whose sum is σ = 556343424. Its totient is φ = 78555840.

The previous prime is 256804297. The next prime is 256804333. The reversal of 256804314 is 413408652.

It is a super-3 number, since 3×256804314³ (a number of 26 digits) contains 333 as substring.

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, 3979 + ... + 23009.

It is an arithmetic number, because the mean of its divisors is an integer number (17385732).

Almost surely, 2^256804314 is an apocalyptic number.

256804314 is an abundant number, since it is smaller than the sum of its proper divisors (299539110).

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

256804314 is a wasteful number, since it uses less digits than its factorization.

256804314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19222.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 256804314 is about 16025.1151009907. The cubic root of 256804314 is about 635.6247093703.

The spelling of 256804314 in words is "two hundred fifty-six million, eight hundred four thousand, three hundred fourteen".