257377849 has 9 divisors (see below), whose sum is σ = 262665039. Its totient is φ = 252195960.

The previous prime is 257377847. The next prime is 257377853. The reversal of 257377849 is 948773752.

The square root of 257377849 is 16043.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8369449 + 249008400 = 2893^2 + 15780^2 .

It is not a de Polignac number, because 257377849 - 2¹ = 257377847 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257377796 and 257377805.

It is not an unprimeable number, because it can be changed into a prime (257377847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 978492 + ... + 978754.

Almost surely, 2^257377849 is an apocalyptic number.

257377849 is the 16043-rd square number.

257377849 is the 8022-nd centered octagonal number.

It is an amenable number.

257377849 is a deficient number, since it is larger than the sum of its proper divisors (5287190).

257377849 is an frugal number, since it uses more digits than its factorization.

257377849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 52.

The cubic root of 257377849 is about 636.0975492488.

The spelling of 257377849 in words is "two hundred fifty-seven million, three hundred seventy-seven thousand, eight hundred forty-nine".