256467141 has 40 divisors (see below), whose sum is σ = 439363584. Its totient is φ = 146046240.

The previous prime is 256467103. The next prime is 256467157. The reversal of 256467141 is 141764652.

256467141 is a `hidden beast` number, since 2 + 5 + 646 + 7 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 256467141 - 2¹⁰ = 256466117 is a prime.

It is a super-3 number, since 3×256467141³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 256467096 and 256467105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256467191) 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 39 ways as a sum of consecutive naturals, for example, 216571 + ... + 217751.

Almost surely, 2^256467141 is an apocalyptic number.

256467141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

256467141 is a deficient number, since it is larger than the sum of its proper divisors (182896443).

256467141 is a wasteful number, since it uses less digits than its factorization.

256467141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1574 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 256467141 is about 16014.5915027515. The cubic root of 256467141 is about 635.3464049148.

The spelling of 256467141 in words is "two hundred fifty-six million, four hundred sixty-seven thousand, one hundred forty-one".