257424768 has 144 divisors (see below), whose sum is σ = 783069300. Its totient is φ = 81160704.

The previous prime is 257424743. The next prime is 257424823. The reversal of 257424768 is 867424752.

It is a happy number.

257424768 is a `hidden beast` number, since 2 + 574 + 2 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×257424768² = 132535022359707648, which contains 22 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 415563 + ... + 416181.

Almost surely, 2^257424768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391534650).

257424768 is an abundant number, since it is smaller than the sum of its proper divisors (525644532).

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

257424768 is a wasteful number, since it uses less digits than its factorization.

257424768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 643 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 257424768 is about 16044.4622222124. The cubic root of 257424768 is about 636.1361996191.

The spelling of 257424768 in words is "two hundred fifty-seven million, four hundred twenty-four thousand, seven hundred sixty-eight".