257488441 has 8 divisors (see below), whose sum is σ = 295798784. Its totient is φ = 219559680.

The previous prime is 257488433. The next prime is 257488459. The reversal of 257488441 is 144884752.

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 257488441 - 2³ = 257488433 is a prime.

It is a super-2 number, since 2×257488441² = 132600594497220962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257488421) 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 7 ways as a sum of consecutive naturals, for example, 93945 + ... + 96646.

It is an arithmetic number, because the mean of its divisors is an integer number (36974848).

Almost surely, 2^257488441 is an apocalyptic number.

It is an amenable number.

257488441 is a deficient number, since it is larger than the sum of its proper divisors (38310343).

257488441 is a wasteful number, since it uses less digits than its factorization.

257488441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190791.

The product of its digits is 286720, while the sum is 43.

The square root of 257488441 is about 16046.4463667193. The cubic root of 257488441 is about 636.1886438879.

The spelling of 257488441 in words is "two hundred fifty-seven million, four hundred eighty-eight thousand, four hundred forty-one".