257834540 has 24 divisors (see below), whose sum is σ = 548872800. Its totient is φ = 101720448.

The previous prime is 257834539. The next prime is 257834557. The reversal of 257834540 is 45438752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 257834494 and 257834503.

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 7 ways as a sum of consecutive naturals, for example, 86840 + ... + 89759.

It is an arithmetic number, because the mean of its divisors is an integer number (22869700).

Almost surely, 2^257834540 is an apocalyptic number.

257834540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257834540 is an abundant number, since it is smaller than the sum of its proper divisors (291038260).

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

257834540 is a wasteful number, since it uses less digits than its factorization.

257834540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176681 (or 176679 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 257834540 is about 16057.2270333330. The cubic root of 257834540 is about 636.4735572272.

The spelling of 257834540 in words is "two hundred fifty-seven million, eight hundred thirty-four thousand, five hundred forty".