257424752 has 20 divisors (see below), whose sum is σ = 537127080. Its totient is φ = 118811328.

The previous prime is 257424743. The next prime is 257424823.

It is a happy number.

257424752 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 618602 + ... + 619017.

It is an arithmetic number, because the mean of its divisors is an integer number (26856354).

Almost surely, 2^257424752 is an apocalyptic number.

It is an amenable number.

257424752 is an abundant number, since it is smaller than the sum of its proper divisors (279702328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257424752 is a wasteful number, since it uses less digits than its factorization.

257424752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237640 (or 1237634 counting only the distinct ones).

The product of its digits is 156800, while the sum is 38.

The square root of 257424752 is about 16044.4617235980. The cubic root of 257424752 is about 636.1361864397.

The spelling of 257424752 in words is "two hundred fifty-seven million, four hundred twenty-four thousand, seven hundred fifty-two".