257749047 has 10 divisors (see below), whose sum is σ = 385032648. Its totient is φ = 171832644.

The previous prime is 257749031. The next prime is 257749069. The reversal of 257749047 is 740947752.

It is not a de Polignac number, because 257749047 - 2⁴ = 257749031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257748993 and 257749011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257749147) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1590963 + ... + 1591124.

Almost surely, 2^257749047 is an apocalyptic number.

257749047 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257749047 is a deficient number, since it is larger than the sum of its proper divisors (127283601).

257749047 is an equidigital number, since it uses as much as digits as its factorization.

257749047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182099 (or 3182090 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 257749047 is about 16054.5646779973. The cubic root of 257749047 is about 636.4032019661.

The spelling of 257749047 in words is "two hundred fifty-seven million, seven hundred forty-nine thousand, forty-seven".