256938801 has 24 divisors (see below), whose sum is σ = 407007360. Its totient is φ = 143694432.

The previous prime is 256938791. The next prime is 256938839. The reversal of 256938801 is 108839652.

It is not a de Polignac number, because 256938801 - 2⁷ = 256938673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256938301) 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 23 ways as a sum of consecutive naturals, for example, 11686 + ... + 25503.

It is an arithmetic number, because the mean of its divisors is an integer number (16958640).

Almost surely, 2^256938801 is an apocalyptic number.

256938801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

256938801 is a deficient number, since it is larger than the sum of its proper divisors (150068559).

256938801 is a wasteful number, since it uses less digits than its factorization.

256938801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37253 (or 37246 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 256938801 is about 16029.3106838691. The cubic root of 256938801 is about 635.7356477224.

The spelling of 256938801 in words is "two hundred fifty-six million, nine hundred thirty-eight thousand, eight hundred one".