257728801 has 8 divisors (see below), whose sum is σ = 281704608. Its totient is φ = 233844000.

The previous prime is 257728759. The next prime is 257728811. The reversal of 257728801 is 108827752.

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 257728801 - 2¹⁹ = 257204513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257728811) 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, 16755 + ... + 28216.

It is an arithmetic number, because the mean of its divisors is an integer number (35213076).

Almost surely, 2^257728801 is an apocalyptic number.

It is an amenable number.

257728801 is a deficient number, since it is larger than the sum of its proper divisors (23975807).

257728801 is a wasteful number, since it uses less digits than its factorization.

257728801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45503.

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 257728801 is about 16053.9341284309. The cubic root of 257728801 is about 636.3865385270.

The spelling of 257728801 in words is "two hundred fifty-seven million, seven hundred twenty-eight thousand, eight hundred one".