257893945 has 8 divisors (see below), whose sum is σ = 309859200. Its totient is φ = 206057520.

The previous prime is 257893931. The next prime is 257893949. The reversal of 257893945 is 549398752.

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

It is not a de Polignac number, because 257893945 - 2⁵ = 257893913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257893892 and 257893901.

It is not an unprimeable number, because it can be changed into a prime (257893949) 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, 27745 + ... + 35854.

It is an arithmetic number, because the mean of its divisors is an integer number (38732400).

Almost surely, 2^257893945 is an apocalyptic number.

It is an amenable number.

257893945 is a deficient number, since it is larger than the sum of its proper divisors (51965255).

257893945 is an equidigital number, since it uses as much as digits as its factorization.

257893945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64415.

The product of its digits is 2721600, while the sum is 52.

The square root of 257893945 is about 16059.0767169224. The cubic root of 257893945 is about 636.5224345786.

The spelling of 257893945 in words is "two hundred fifty-seven million, eight hundred ninety-three thousand, nine hundred forty-five".