257079641 has 8 divisors (see below), whose sum is σ = 316405824. Its totient is φ = 203403600.

The previous prime is 257079637. The next prime is 257079649. The reversal of 257079641 is 146970752.

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 257079641 - 2² = 257079637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257079649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1412435 + ... + 1412616.

It is an arithmetic number, because the mean of its divisors is an integer number (39550728).

Almost surely, 2^257079641 is an apocalyptic number.

It is an amenable number.

257079641 is a deficient number, since it is larger than the sum of its proper divisors (59326183).

257079641 is a wasteful number, since it uses less digits than its factorization.

257079641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825071.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 257079641 is about 16033.7032840202. The cubic root of 257079641 is about 635.8517851755.

The spelling of 257079641 in words is "two hundred fifty-seven million, seventy-nine thousand, six hundred forty-one".