257294641 has 8 divisors (see below), whose sum is σ = 266486400. Its totient is φ = 248124240.

The previous prime is 257294627. The next prime is 257294651. The reversal of 257294641 is 146492752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257294641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257294594 and 257294603.

It is not an unprimeable number, because it can be changed into a prime (257294621) 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, 21550 + ... + 31288.

It is an arithmetic number, because the mean of its divisors is an integer number (33310800).

Almost surely, 2^257294641 is an apocalyptic number.

It is an amenable number.

257294641 is a deficient number, since it is larger than the sum of its proper divisors (9191759).

257294641 is an equidigital number, since it uses as much as digits as its factorization.

257294641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679.

The product of its digits is 120960, while the sum is 40.

The square root of 257294641 is about 16040.4065098114. The cubic root of 257294641 is about 636.0289936086.

The spelling of 257294641 in words is "two hundred fifty-seven million, two hundred ninety-four thousand, six hundred forty-one".