257462761 has 8 divisors (see below), whose sum is σ = 268758344. Its totient is φ = 246395520.

The previous prime is 257462747. The next prime is 257462771. The reversal of 257462761 is 167264752.

It can be written as a sum of positive squares in 4 ways, for example, as 9211225 + 248251536 = 3035^2 + 15756^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257462761 - 2¹³ = 257454569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257462741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54780 + ... + 59293.

It is an arithmetic number, because the mean of its divisors is an integer number (33594793).

Almost surely, 2^257462761 is an apocalyptic number.

It is an amenable number.

257462761 is a deficient number, since it is larger than the sum of its proper divisors (11295583).

257462761 is a wasteful number, since it uses less digits than its factorization.

257462761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114171.

The product of its digits is 141120, while the sum is 40.

The square root of 257462761 is about 16045.6461696000. The cubic root of 257462761 is about 636.1674935954.

The spelling of 257462761 in words is "two hundred fifty-seven million, four hundred sixty-two thousand, seven hundred sixty-one".