257130540 has 144 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 66213504.

The previous prime is 257130521. The next prime is 257130541. The reversal of 257130540 is 45031752.

It is a happy number.

257130540 is a `hidden beast` number, since 25 + 71 + 30 + 540 = 666.

It is a super-2 number, since 2×257130540² = 132232229201383200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257130541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075741 + ... + 1075979.

It is an arithmetic number, because the mean of its divisors is an integer number (5605600).

Almost surely, 2^257130540 is an apocalyptic number.

257130540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403603200).

257130540 is an abundant number, since it is smaller than the sum of its proper divisors (550075860).

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

257130540 is a wasteful number, since it uses less digits than its factorization.

257130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 257130540 is about 16035.2904557417. The cubic root of 257130540 is about 635.8937463413.

The spelling of 257130540 in words is "two hundred fifty-seven million, one hundred thirty thousand, five hundred forty".