257650461 has 12 divisors (see below), whose sum is σ = 376344540. Its totient is φ = 169836480.

The previous prime is 257650451. The next prime is 257650493. The reversal of 257650461 is 164056752.

It is a happy number.

257650461 is a `hidden beast` number, since 25 + 76 + 504 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52272900 + 205377561 = 7230^2 + 14331^2 .

It is not a de Polignac number, because 257650461 - 2¹⁴ = 257634077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257650411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160030 + ... + 161631.

It is an arithmetic number, because the mean of its divisors is an integer number (31362045).

Almost surely, 2^257650461 is an apocalyptic number.

It is an amenable number.

257650461 is a deficient number, since it is larger than the sum of its proper divisors (118694079).

257650461 is a wasteful number, since it uses less digits than its factorization.

257650461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321756 (or 321753 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 257650461 is about 16051.4940426117. The cubic root of 257650461 is about 636.3220526884.

The spelling of 257650461 in words is "two hundred fifty-seven million, six hundred fifty thousand, four hundred sixty-one".