257463424 has 32 divisors (see below), whose sum is σ = 513819900. Its totient is φ = 128504832.

The previous prime is 257463407. The next prime is 257463431. The reversal of 257463424 is 424364752.

It can be written as a sum of positive squares in 2 ways, for example, as 197121600 + 60341824 = 14040^2 + 7768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89334 + ... + 92170.

Almost surely, 2^257463424 is an apocalyptic number.

It is an amenable number.

257463424 is a deficient number, since it is larger than the sum of its proper divisors (256356476).

257463424 is an equidigital number, since it uses as much as digits as its factorization.

257463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3548 counting only the distinct ones).

The product of its digits is 161280, while the sum is 37.

The square root of 257463424 is about 16045.6668293967. Note that the first 3 decimals coincide. The cubic root of 257463424 is about 636.1680396662.

The spelling of 257463424 in words is "two hundred fifty-seven million, four hundred sixty-three thousand, four hundred twenty-four".