256406007 has 64 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 133902720.

The previous prime is 256405999. The next prime is 256406011. The reversal of 256406007 is 700604652.

It is not a de Polignac number, because 256406007 - 2³ = 256405999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256406077) 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 63 ways as a sum of consecutive naturals, for example, 676344 + ... + 676722.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2^256406007 is an apocalyptic number.

256406007 is a deficient number, since it is larger than the sum of its proper divisors (172598793).

256406007 is a wasteful number, since it uses less digits than its factorization.

256406007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 256406007 is about 16012.6826921662. The cubic root of 256406007 is about 635.2959184554.

The spelling of 256406007 in words is "two hundred fifty-six million, four hundred six thousand, seven".