257540540 has 24 divisors (see below), whose sum is σ = 544471200. Its totient is φ = 102323648.

The previous prime is 257540539. The next prime is 257540579. The reversal of 257540540 is 45045752.

It is a junction number, because it is equal to n+sod(n) for n = 257540497 and 257540506.

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, 40232 + ... + 46191.

It is an arithmetic number, because the mean of its divisors is an integer number (22686300).

Almost surely, 2^257540540 is an apocalyptic number.

257540540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257540540 is an abundant number, since it is smaller than the sum of its proper divisors (286930660).

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

257540540 is a wasteful number, since it uses less digits than its factorization.

257540540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86581 (or 86579 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 257540540 is about 16048.0696658508. The cubic root of 257540540 is about 636.2315488002.

The spelling of 257540540 in words is "two hundred fifty-seven million, five hundred forty thousand, five hundred forty".