256400419 has 8 divisors (see below), whose sum is σ = 280801008. Its totient is φ = 232181760.

The previous prime is 256400407. The next prime is 256400447. The reversal of 256400419 is 914004652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256400419 - 2¹⁵ = 256367651 is a prime.

It is a super-2 number, since 2×256400419² = 131482349726751122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256401419) 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 7 ways as a sum of consecutive naturals, for example, 42522 + ... + 48175.

It is an arithmetic number, because the mean of its divisors is an integer number (35100126).

Almost surely, 2^256400419 is an apocalyptic number.

256400419 is a deficient number, since it is larger than the sum of its proper divisors (24400589).

256400419 is a wasteful number, since it uses less digits than its factorization.

256400419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90965.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 256400419 is about 16012.5082045256. The cubic root of 256400419 is about 635.2913033017.

The spelling of 256400419 in words is "two hundred fifty-six million, four hundred thousand, four hundred nineteen".