257424032 has 48 divisors (see below), whose sum is σ = 515652480. Its totient is φ = 126486528.

The previous prime is 257423941. The next prime is 257424043. The reversal of 257424032 is 230424752.

It is a super-2 number, since 2×257424032² = 132534264502274048, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 257423986 and 257424004.

It is an unprimeable number.

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, 741683 + ... + 742029.

It is an arithmetic number, because the mean of its divisors is an integer number (10742760).

Almost surely, 2^257424032 is an apocalyptic number.

It is an amenable number.

257424032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

257424032 is a wasteful number, since it uses less digits than its factorization.

257424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 257424032 is about 16044.4392859333. The cubic root of 257424032 is about 636.1355933622.

Adding to 257424032 its reverse (230424752), we get a palindrome (487848784).

The spelling of 257424032 in words is "two hundred fifty-seven million, four hundred twenty-four thousand, thirty-two".