257816540 has 24 divisors (see below), whose sum is σ = 541719360. Its totient is φ = 103068608.

The previous prime is 257816527. The next prime is 257816557. The reversal of 257816540 is 45618752.

It is a junction number, because it is equal to n+sod(n) for n = 257816494 and 257816503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60314 + ... + 64446.

It is an arithmetic number, because the mean of its divisors is an integer number (22571640).

Almost surely, 2^257816540 is an apocalyptic number.

257816540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257816540 is an abundant number, since it is smaller than the sum of its proper divisors (283902820).

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

257816540 is a wasteful number, since it uses less digits than its factorization.

257816540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 257816540 is about 16056.6665282679. Note that the first 3 decimals coincide. The cubic root of 257816540 is about 636.4587456732.

The spelling of 257816540 in words is "two hundred fifty-seven million, eight hundred sixteen thousand, five hundred forty".