257824340 has 12 divisors (see below), whose sum is σ = 541431156. Its totient is φ = 103129728.

The previous prime is 257824339. The next prime is 257824361. The reversal of 257824340 is 43428752.

It can be written as a sum of positive squares in 2 ways, for example, as 70627216 + 187197124 = 8404^2 + 13682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257824340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6445589 + ... + 6445628.

It is an arithmetic number, because the mean of its divisors is an integer number (45119263).

Almost surely, 2^257824340 is an apocalyptic number.

257824340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257824340 is an abundant number, since it is smaller than the sum of its proper divisors (283606816).

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

257824340 is a wasteful number, since it uses less digits than its factorization.

257824340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12891226 (or 12891224 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 257824340 is about 16056.9094161984. The cubic root of 257824340 is about 636.4651640979.

The spelling of 257824340 in words is "two hundred fifty-seven million, eight hundred twenty-four thousand, three hundred forty".