257304849 has 16 divisors (see below), whose sum is σ = 355320000. Its totient is φ = 165427136.

The previous prime is 257304847. The next prime is 257304871. The reversal of 257304849 is 948403752.

It is not a de Polignac number, because 257304849 - 2¹ = 257304847 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257304849.

It is not an unprimeable number, because it can be changed into a prime (257304847) 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 15 ways as a sum of consecutive naturals, for example, 129427 + ... + 131399.

It is an arithmetic number, because the mean of its divisors is an integer number (22207500).

Almost surely, 2^257304849 is an apocalyptic number.

257304849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

257304849 is a deficient number, since it is larger than the sum of its proper divisors (98015151).

257304849 is a wasteful number, since it uses less digits than its factorization.

257304849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 257304849 is about 16040.7247030800. The cubic root of 257304849 is about 636.0374048449.

The spelling of 257304849 in words is "two hundred fifty-seven million, three hundred four thousand, eight hundred forty-nine".