257962146 has 32 divisors (see below), whose sum is σ = 560007168. Its totient is φ = 78744960.

The previous prime is 257962121. The next prime is 257962151. The reversal of 257962146 is 641269752.

It is a junction number, because it is equal to n+sod(n) for n = 257962098 and 257962107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3115 + ... + 22926.

It is an arithmetic number, because the mean of its divisors is an integer number (17500224).

Almost surely, 2^257962146 is an apocalyptic number.

257962146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

257962146 is an abundant number, since it is smaller than the sum of its proper divisors (302045022).

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

257962146 is a wasteful number, since it uses less digits than its factorization.

257962146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26186.

The product of its digits is 181440, while the sum is 42.

The square root of 257962146 is about 16061.2000174333. The cubic root of 257962146 is about 636.5785398642.

The spelling of 257962146 in words is "two hundred fifty-seven million, nine hundred sixty-two thousand, one hundred forty-six".